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STT206 EXAM PRACTICE QUESTIONS AND ANSWERS
CBT Exam Practice Question and TMA Solutions

STT206 EXAM PRACTICE QUESTIONS AND ANSWERS

tutirayo.net December 17, 2025

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1. Which of the following statements is not correct?

a. The number of movies you watched last year is an example of a continuous random variable

b. To study basic properties of discrete random variables, only the tools of discrete mathematics -summation and differences – are required.

c. The study of continuous random variables requires the continuous mathematics of the calculus integrals and derivatives.

d. In general, each outcome of an experiment can be associated with a number by specifying a degree of association.

 

2. What is the probability that two female students will be selected at random, one after the other, to participate in a research project from a class of 7 male and 3 female students?

a. 2/9

b. 1/10

c. 1/15

d. 3/10

 

 

3. In a two tailed test, the level of significance is

a. Subtracted from 2

b. Divided by 2

c. Multiplied by 2

d. Added to 2

 

4. ANOVA F-test is said to be significant if

a. the alternative hypothesis of equality of treatment means is rejected based on the test criteria.

b. the null hypothesis of equality of treatment means is not rejected based on the test criteria.

c. the alternative hypothesis of equality of treatment means is not rejected based on the test criteria.

d. the null hypothesis of equality of treatment means is rejected based on the test criteria

 

5. In hypothesis testing the type of the test to be used (one or two tailed) is determined by

a. Acceptance region

b. Null hypothesis

c. Critical region

d. Alternative hypothesis

 

6. In hypotheses testing, the test value is obtained from

a. Test statistic

b. Hypotheses

c. Acceptance region

d. Critical region

 

7. The probability that Tope passes an exam is 1/3 and probabilities that his brother and sister pass the same exam are 2/5 and 3/8 respectively. Find the probability that the three of them will fail the exam.

a. 2/5

b. 1/4

c. 1/3

d. 3/8

 

8. There are basically two types of random variables; __________ and continuous random variables.

a. Exploratory

b. Independent

c. Discrete

d. Dependent

 

9. The closer the correlation coefficient is to zero, ___________ the degree of association between the variables under consideration

a. the clearer

b. the weaker

c. the stronger

d. the better

 

 

 

10. In regression analysis of the form as  Y = β 0 + β 1 x + E, the variable x is known as

a. Yield

b. Dependent

c. Treatment

d. Independent

 

11. Which type of sampling technique involves dividing the population into groups or clusters and then randomly selecting entire clusters to form the sample?

a. Cluster sampling

b. Stratified sampling

c. Convenience sampling

d.Systematic sampling

 

 

 

 

12. An index number is used to:

a. Track the changes in a group of related variables over time

b. Calculate the average of a set of numbers

c. Measure the price level of a specific commodity

d. Compare two different commodities in different units

 

13. A correlation coefficient of 0 indicates that there is:

a. A perfect negative relationship between the variables

b. No relationship between the variables

c. A weak positive relationship between the variables

d. A perfect positive relationship between the variables

 

 

14. What is the primary purpose of statistics in scientific research?

a. To make data more confusing

b. To prove a hypothesis

c. To summarize and analyze data

d. To create fancy charts and graphs

 

 

 

15. In hypothesis testing, what is the level of significance (alpha) commonly set at to test the null hypothesis?

a. 0.01

b. 0.05

c. 0.001

d.0.10

 

 

 

 

16. Which type of data is categorical and can be organized into groups or categories with no inherent order?

a. Nominal data

b. Interval data

c. Interval data

d. Ordinal data

 

 

 

 

17. Which type of sampling technique involves selecting every nth item from the population to form the sample?

a. Stratified sampling

b. Systematic sampling

c. Convenience sampling

d. Cluster sampling

 

18. Which type of sampling technique involves dividing the population into groups or clusters and then randomly selecting entire clusters to form the sample?

a. Cluster sampling

b. Stratified sampling

c. Convenience sampling

d. Systematic sampling

 

 

 

19. _________ measures the degree of relationship between two variables X and Y.

a. Correlation coefficient

b. Variance

c. Moment

d. Coefficient of variation

 

 

 

20. Which of the following statements is not an example of a continuous random variable?

a. The price for cheesecake in New York Style cheesecake

b. The weight gain in kilograms per month for a calf

c. The time it takes you to finish a statistics test

d. The number of mistakes made by a typist on a randomly chosen page of a manuscript

 

 

 

21. Which of the following is correct about the difference between a one-tailed test and a two-tailed test?

a. In a one-tailed test, the rejection region is always in the upper tails, while in a two-tailed test the rejection region is split between the tails.

b. In a one-tailed test, the rejection region is in one of the tails, while in a two-tailed test the rejection region is split between the tail

c. In a one-tailed test, the rejection region is always in the lower tails, while in a two-tailed test the rejection region is split between the tails.

d. In a two-tailed test, the rejection region is in one of the tails, while in a one-tailed test the rejection region is split between the tails.

 

 

 

22. Which of the following statement is true about the null hypothesis?

a. Can be estimated from the sample

b. Must not contain zero

c. it is an initial statement about the value of the parameter

d. Will always contain zero

 

 

 

23. The term ANOVA

a. has no special meaning

b. stands for Another Numeric Observation of the Variance

c. stands for Analysis of Variables

d. stands for Analysis of Variance

 

 

24. Three cards are drawn randomly from a deck of cards one after the other with replacement each time. Find the probability that the three cards are a 5, a heart and a king.

a. 1/67

b. 1/8

c. 1/52

d. 1/64

 

 

 

25. Which of the following statements is not an example of a discrete random variable?

a. The age of female respondents to a questionnaire about gender differences

b. The number of female respondents to a questionnaire about gender differences

c. The number of school-age children in a particular family

d. The number of sales a salesperson makes per year

 

 

 

26. Which of the following statements is not an example of a discrete random variable?

a. The age of female respondents to a questionnaire about gender differences

b. The number of female respondents to a questionnaire about gender differences

c. The number of school-age children in a particular family

d. The number of sales a salesperson makes per year

 

 

 

 

27. A statistic is to a sample as ___________ is to a population.

a. Estimate

b. Parameter

c. Average

d.Variance

 

 

 

 

28. In hypothesis testing the type of the test to be used (one or two tailed) is determined by

a. Critical region

b. Null hypothesis

c. Alternative hypothesis

d.Acceptance region

 

 

 

29. An index number is used to:

a. Measure the price level of a specific commodity

b. Calculate the average of a set of numbers

c. Track the changes in a group of related variables over time

d. Compare two different commodities in different units

 

 

 

30. Which level of measurement has a true zero point and allows for meaningful ratios between data points?

a. Ordinal

b. Nominal

c. Ratio

d. Interval

 

 

 

 

31. What is the primary purpose of statistics in scientific research?

a. To create fancy charts and graphs

b. To summarize and analyze data

c. To prove a hypothesis

d.To make data more confusing

 

 

 

 

32. In estimation theory, what is a point estimate?

a. A measure of the dispersion of the sample data

b. A single value that is used to approximate the population parameter

c. The average of the sample data

d. A range of values that likely contains the population parameter

 

 

33. In the chi-square test for goodness of fit, the null hypothesis assumes that:

a. There is no association between the variables being tested

b. The sample size is too small to draw any conclusions

c. The sample is normally distributed

d. There is an association between the variables being tested.

 

 

 

34. Which index number formula considers the expenditure shares of the base year while constructing the index?

a. Marshall-Edgeworth Price Index

b. Fisher Price Index

c. Paasche Price Index

d. Laspeyres Price Index

 

 

 

 

35. Goodness of fit is a statistical technique used to:

a. Determine if an observed frequency distribution fits an expected theoretical distribution

b. Compare the means of two or more groups

c. Measure the correlation between two variables

d. Assess the variability of a data set

 

 

36. Correlation is a statistical measure that describes the:

a. Difference between two variables

b. Causation between two variables

c. Strength and direction of the linear relationship between two variables

d. Proportion of variability explained by two variables

 

 

37. Which type of sampling technique involves selecting every nth item from the population to form the sample?

a. Cluster sampling

b. Systematic sampling

c. Convenience sampling

d. Stratified sampling

 

 

 

38. In hypothesis testing, what is the level of significance (alpha) commonly set at to test the null hypothesis?

a. 0.05

b. 0.01

c. 0.10

d. 0.001

 

 

 

39. There are basically two types of random variables; __________ and continuous random variables.

a. Independent

b. Discrete

c. Exploratory

d. Dependent

 

 

40. A random sample of size 18 and 12 were selected from two normal populations A and B respectively. To determine if there is a difference in the population means assuming independent sample and equal variances, the degrees of freedom will be

a. 30

b. 15

c. 29

d. 28

 

 

 

41. The term ANOVA

a. has no special meaning

b. stands for Analysis of Variables

c. stands for Analysis of Variance

d. stands for Another Numeric Observation of the Variance

 

 

 

42. Which of the following is correct about the difference between a one-tailed test and a two-tailed test?

a. In a one-tailed test, the rejection region is always in the upper tails, while in a two-tailed test the rejection region is split between the tails.

b. In a one-tailed test, the rejection region is always in the lower tails, while in a two-tailed test the rejection region is split between the tails.

c. In a one-tailed test, the rejection region is in one of the tails, while in a two-tailed test the rejection region is split between the tails

d. In a two-tailed test, the rejection region is in one of the tails, while in a one-tailed test the rejection region is split between the tails.

 

 

43. Which of the following statement is true about the null hypothesis?

a. Will always contain zero

b. It is an initial statement about the value of the parameter

c. Can be estimated from the sample

d. Must not contain zero

 

 

44. Which of the following statements is not an example of a continuous random variable?

a. The price for cheesecake in New York Style cheesecake

b. The number of mistakes made by a typist on a randomly chosen page of a manuscript

c. The time it takes you to finish a statistics test

d. The weight gain in kilograms per month for a calf

 

 

 

 

45. A statistic is to a sample as ___________ is to a population.

a. Parameter

b. Estimate

c. Variance

d. Average

 

 

 

 

46. Which of the following statements is an example of a continuous random variable?

a. The depth of Lake Michigan at a randomly chosen point on the surface

b. Total number of students taking a particular course

c. The number of credit units you registered for this semester

d. The number of gas stations in a city

 

47. Of a company’s employees, 30% are women and 6% are married women. Suppose an employee is selected at random. If the employee selected is a woman, what is the probability that she is married?

a. 0.06

b. 0.018

c. 0.30

d. 0.20

 

 

48. here are basically two types of random variables; __________ and continuous random variables.

a. Exploratory

b. Discrete

c. Independent

d. Dependent

 

 

 

49. Which of the following statements best describes the relationship between a parameter and a statistic?

a. A parameter is used to estimate a statistic

b. A parameter has a sampling distribution that can be used to determine what values the statistic is likely to have in repeated samples

c. A parameter has a sampling distribution with the statistic as its mean

d. A statistic is used to estimate a parameter

 

 

 

50. The closer the correlation coefficient is to zero, ___________ the degree of association between the variables under consideration

a. the stronger

b. the clearer

c. the weaker

d. the better

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The form of the alternative hypothesis can be

a. one or two-tailed

b. one-tailed

c. neither one nor two-tailed

d. two-tailed

 

A random or unbiased assignment of individuals or items to treatment groups in order to average out extraneous (or nuisance) factors is called

a. Randomization

b. Error control

c. Replication

d. Experiment

 

 

 

In hypothesis testing the type of the test to be used (one or two tailed) is determined by

 

 

a. Null hypothesis

 

b. Acceptance region

 

c. Alternative hypothesis

 

d. Critical region

 

 

 

 

 

 

 

 

 

 

In a two tailed test, the level of significance is

 

a. Divided by 2

 

b. Subtracted from 2

 

c. Multiplied by 2

 

d. Added to 2

 

 

 

 

 

 

 

In regression analysis of the form as

y=β 0 + β 1 x + e, the variable x is known as

 

a. Independent

 

b. Treatment

 

c. Yield

 

d. Dependent

 

Which of the following statements is not correct

a. The number of movies you watched last year is an example of a continuous random variable

b. To study basic properties of discrete random variables, only the tools of discrete mathematics -summation and differences – are required.

c. The study of continuous random variables requires the continuous mathematics of the calculus integrals and derivatives.

d. In general, each outcome of an experiment can be associated with a number by specifying a degree of association.

 

 

What is the probability that two female students will be selected at random, one after the other, to participate in a research project from a class of 7 male and 3 female students?

a. 2/9

b. 1/10

c. 1/15

d. 3/10

 

In a two tailed test, the level of significance is

a. Subtracted from 2

b. Divided by 2

c. Multiplied by 2

d. Added to 2

 

ANOVA F-test is said to be significant if ____

a. the alternative hypothesis of equality of treatment means is rejected based on the test criteria.

b. the null hypothesis of equality of treatment means is not rejected based on the test criteria.

c. the alternative hypothesis of equality of treatment means is not rejected based on the test criteria.

d. the null hypothesis of equality of treatment means is rejected based on the test criteria

 

 

 

In hypothesis testing the type of the test to be used (one or two tailed) is determined by

a. Acceptance region

b. Null hypothesis

c. Critical region

d. Alternative hypothesis

 

 

 

In hypothesis testing, the test value is obtained from

a. Test statistic

b. Hypotheses

c. Acceptance region

d.Critical region

 

 

The probability that Tope passes an exam is 1/3 and probabilities that his brother and sister pass the same exam are 2/5 and 3/8 respectively. Find the probability that the three of them will fail the exam.

a. 2/5

b. 1/4

c. 1/3

d. 3/8

 

 

 

There are basically two types of random variables; __________ and continuous random variables.

a. Exploratory

b. Independent

c. Discrete

d. Dependent

 

 

The closer the correlation coefficient is to zero, ___________ the degree of association between the variables under consideration

a. the clearer

b. the weaker

c. the stronger

d. the better

 

 

 

In regression analysis of the form as Y = β 0 + β 1 x + e, the variable x is known as

a. Yield

b. Dependent

c. Treatment

d. Independent

 

 

 

Which type of sampling technique involves dividing the population into groups or clusters and then randomly selecting entire clusters to form the sample?

a. Cluster sampling

b. Stratified sampling

c. Convenience sampling

d. Systematic sampling

 

 

 

An index number is used to:

a. Track the changes in a group of related variables over time

b. Calculate the average of a set of numbers

c. Measure the price level of a specific commodity

d. Compare two different commodities in different units

 

 

A correlation coefficient of 0 indicates that there is:

a. A perfect negative relationship between the variables

b. No relationship between the variables

c. A weak positive relationship between the variables

d. A perfect positive relationship between the variables

 

What is the primary purpose of statistics in scientific research?

a. To make data more confusing

b. To prove a hypothesis

c. To summarize and analyze data

d. To create fancy charts and graphs

 

In hypothesis testing, what is the level of significance (alpha) commonly set at to test the null hypothesis?

a. 0.01

b. 0.05

c. 0.001

d. 0.10

 

 

Which type of data is categorical and can be organized into groups or categories with no inherent order?

a. Nominal data

b. Interval data

c. Interval data

d. Ordinal data

 

 

Which type of sampling technique involves selecting every nth item from the population to form the sample?

a. Stratified sampling

b. Systematic sampling

c. Convenience sampling

d. Cluster sampling

 

 

 

Which type of sampling technique involves dividing the population into groups or clusters and then randomly selecting entire clusters to form the sample?

a. Cluster sampling

b. Stratified sampling

c. Convenience sampling

d. Systematic sampling

 

 

_________ measures the degree of relationship between two variables X and Y.

a. Correlation coefficient

b. Variance

c. Moment

d. Coefficient of variation

 

 

Which of the following statements is not an example of a continuous random variable?

a. The price for cheesecake in New York Style cheesecake

a. The weight gain in kilograms per month for a calf

b. The time it takes you to finish a statistics test

c. The number of mistakes made by a typist on a randomly chosen page of a manuscript

 

 

Which of the following is correct about the difference between a one-tailed test and a two-tailed test?

a. In a one-tailed test, the rejection region is always in the upper tails, while in a two-tailed test the rejection region is split between the tails.

b. In a one-tailed test, the rejection region is in one of the tails, while in a two-tailed test the rejection region is split between the tails

c. In a one-tailed test, the rejection region is always in the lower tails, while in a two-tailed test the rejection region is split between the tails.

d. In a two-tailed test, the rejection region is in one of the tails, while in a one-tailed test the rejection region is split between the tails.

 

 

Which of the following statement is true about the null hypothesis?

a. Can be estimated from the sample

b. Must not contain zero

c. It is an initial statement about the value of the paramete

d. Will always contain zero

 

 

The term ANOVA

a. has no special meaning

b. stands for Another Numeric Observation of the Variance

c. stands for Analysis of Variables

d. stands for Analysis of Variance

 

 

Three cards are drawn randomly from a deck of cards one after the other with replacement each time. Find the probability that the three cards are a 5, a heart and a king.

a. 1/676

b. 1/8

c. 1/52

d. 1/64

 

 

 

Which of the following statements is not an example of a discrete random variable?

a. The age of female respondents to a questionnaire about gender differences

b. The number of female respondents to a questionnaire about gender differences

c. The number of school-age children in a particular family

d. The number of sales a salesperson makes per year

 

 

Which of the following statements is not an example of a discrete random variable?

a. The age of female respondents to a questionnaire about gender differences

b. The number of female respondents to a questionnaire about gender differences

c. The number of school-age children in a particular family

d. The number of sales a salesperson makes per year

 

 

A statistic is to a sample as ___________ is to a population.

a. Estimate

b. Parameter

c. Average

d. Variance

 

 

In hypothesis testing the type of the test to be used (one or two tailed) is determined by

a. Critical region

b. Null hypothesis

c. Alternative hypothesis

d. Acceptance region

 

 

An index number is used to:

a. Measure the price level of a specific commodity

b. Calculate the average of a set of numbers

c. Track the changes in a group of related variables over time

d. Compare two different commodities in different units

 

 

 

Which level of measurement has a true zero point and allows for meaningful ratios between data points?

a. Ordinal

b. Nominal

c. Ratio

d. Interval

 

 

What is the primary purpose of statistics in scientific research?

a. To create fancy charts and graphs

b. To summarize and analyze data

c. To prove a hypothesis

d. To make data more confusing

 

 

In estimation theory, what is a point estimate?

a. A measure of the dispersion of the sample data

b. A single value that is used to approximate the population parameter

c. The average of the sample data

d. A range of values that likely contains the population parameter

 

 

In the chi-square test for goodness of fit, the null hypothesis assumes that:

a. There is no association between the variables being tested

b. The sample size is too small to draw any conclusions

c. The sample is normally distributed

d. There is an association between the variables being tested.

 

 

Which index number formula considers the expenditure shares of the base year while constructing the index?

a.  Marshall-Edgeworth Price Index

b. Fisher Price Index

c. Paasche Price Index

d. Laspeyres Price Index

 

Goodness of fit is a statistical technique used to:

a. Determine if an observed frequency distribution fits an expected theoretical distribution

b. Compare the means of two or more groups

c. Measure the correlation between two variables

d. Assess the variability of a dataset

 

 

Correlation is a statistical measure that describes the:

a. Difference between two variables

b. Causation between two variables

c. Strength and direction of the linear relationship between two variables…..

d. Proportion of variability explained by two variables

 

 

Which type of sampling technique involves selecting every nth item from the population to form the sample?

a. Cluster sampling

b. Systematic sampling

c. Convenience sampling

d. Stratified samplin

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In hypothesis testing, what is the level of significance (alpha) commonly set at to test the null hypothesis?

 

a. 0.05

 

b. 0.01

 

c. 0.10

 

d. 0.001

 

 

 

 

 

 

 

There are basically two types of random variables; __________ and continuous random variables.

 

 

a. Independent

 

b. Discrete

 

c. Exploratory

 

d. Dependent

 

 

 

 

 

 

A random sample of size 18 and 12 were selected from two normal populations A and B respectively. To determine if there is a difference in the population means assuming independent sample and equal variances, the degrees of freedom will be

 

a. 30

 

b. 15

 

c. 29

 

d. 28

 

 

 

 

 

The term ANOVA

 

 

a. has no special meaning

 

b. stands for Analysis of Variables

 

c. stands for Analysis of Variance

 

d. stands for Another Numeric Observation of the Variance

 

 

 

 

 

Which of the following is correct about the difference between a one-tailed test and a two-tailed test?

 

 

a. In a one-tailed test, the rejection region is always in the upper tails, while in a two-tailed test the rejection region is split between the tails.

 

b. In a one-tailed test, the rejection region is always in the lower tails, while in a two-tailed test the rejection region is split between the tails.

 

c. In a one-tailed test, the rejection region is in one of the tails, while in a two-tailed test the rejection region is split between the tails

 

d. In a two-tailed test, the rejection region is in one of the tails, while in a one-tailed test the rejection region is split between the tails.

 

 

 

 

 

 

Which of the following statement is true about the null hypothesis?

 

a. Will always contain zero

 

b. It is an initial statement about the value of the parameter

 

c. Can be estimated from the sample

 

d. Must not contain zero

 

 

 

 

 

Which of the following statements is not an example of a continuous random variable?

 

 

a. The price for cheesecake in New York Style cheesecake

 

b. The number of mistakes made by a typist on a randomly chosen page of a manuscript

 

c. The time it takes you to finish a statistics test

 

d. The weight gain in kilograms per month for a calf

 

 

 

 

 

 

A statistic is to a sample as ___________ is to a population.

 

a. Parameter

 

b. Estimate

 

c. Variance

 

d. Average

 

 

 

 

 

 

Three cards are drawn randomly from a deck of cards one after the other with replacement each time. Find the probability that the three cards are a 5, a heart and a king.

 

a. 1/8

 

b. 1/676

 

c. 1/64

 

d. 1/52

 

 

 

 

 

 

Which of the following statements is an example of a continuous random variable?

 

 

a. The depth of Lake Michigan at a randomly chosen point on the surface

 

b. Total number of students taking a particular course

 

c. The number of credit units you registered for this semester

 

d. The number of gas stations in a city

 

 

 

 

 

Of a company’s employees, 30% are women and 6% are married women. Suppose an employee is selected at random. If the employee selected is a woman, what is the probability that she is married?

 

 

a. 0.06

 

b. 0.018

 

c. 0.30

 

d. 0.20

 

 

 

 

 

here are basically two types of random variables; __________ and continuous random variables.

 

a. Exploratory

 

b. Discrete

 

c. Independent

 

d. Dependent

 

 

 

 

 

 

Which of the following statements best describes the relationship between a parameter and a statistic?

 

a. A parameter is used to estimate a statistic

 

b. A parameter has a sampling distribution that can be used to determine what values the statistic is likely to have in repeated samples

 

c. A parameter has a sampling distribution with the statistic as its mean

 

d. A statistic is used to estimate a parameter

 

 

 

 

 

 

The closer the correlation coefficient is to zero, ___________ the degree of association between the variables under consideration

 

 

a. the stronger

 

b. the clearer

 

c. the weaker

 

d. the better

 

 

 

 

 

 

The form of the alternative hypothesis can be

 

 

a. one or two-tailed

 

b. one-tailed

 

c. neither one nor two-tailed

 

d. two-tailed

 

 

 

 

 

A random or unbiased assignment of individuals or items to treatment groups in order to average out extraneous (or nuisance) factor is called

 

a. Randomization

 

b. Error control

 

C. Replication

 

c. Experiment

 

 

 

 

 

In hypothesis testing the type of the test to be used (one or two tailed) is determined by

 

 

a. Null hypothesis

 

b. Acceptance region

 

c. Alternative hypothesis

 

d. Critical region

 

 

 

 

 

 

 

In a two tailed test, the level of significance is

 

a. Divided by 2

 

b. Subtracted from 2

 

c. Multiplied by 2

 

d. Added to 2

 

 

 

 

 

In regression analysis of the form as y=β 0 + β 1 x + e, the variable x is known as

 

 

a. Independent

 

b. Treatment

 

c. Yield

 

d. DependentSTT206 TMA

 

 

 

 

 

 

 

Which of the following statements is not correct?

 

 

a. The number of movies you watched last year is an example of a continuous random variable

 

b. To study basic properties of discrete random variables, only the tools of discrete mathematics -summation and differences – are required.

 

c. The study of continuous random variables requires the continuous mathematics of the calculus integrals and derivatives.

 

d. In general, each outcome of an experiment can be associated with a number by specifying a degree of association.

 

 

 

 

 

 

 

What is the probability that two female students will be selected at random, one after the other, to participate in a research project from a class of 7 male and 3 female students?

 

 

a.2/9

 

b.1/10

 

c.1/15

 

e. 3/10

 

 

 

 

 

 

 

In a two tailed test, the level of significance is

 

a. Subtracted from 2

 

b. Divided by 2

 

c. Multiplied by 2

 

d. Added to 2

 

 

 

 

 

 

 

ANOVA F-test is said to be significant if

 

 

a. the alternative hypothesis of equality of treatment means is rejected based on the test criteria.

 

b. the null hypothesis of equality of treatment means is not rejected based on the test criteria.

 

c. the alternative hypothesis of equality of treatment means is not rejected based on the test criteria.

 

d. the null hypothesis of equality of treatment means is rejected based on the test criteria

 

 

 

 

 

 

In hypothesis testing the type of the test to be used (one or two tailed) is determined by

 

 

a. Acceptance region

 

b. Null hypothesis

 

c. Critical region

 

d. Alternative hypothesis

 

 

 

 

 

 

In hypotheses testing, the test value is obtained from

 

a. Test statistic

 

b. Hypotheses

 

c. Acceptance region

 

d. Critical region

 

 

 

 

 

 

The probability that Tope passes an exam is 1/3 and probabilities that his brother

and sister pass the same exam are 2/5 and 3/8 respectively. Find the probability that

 

the three of them will fail the exam.

 

 

a. 2/5

 

b. 1/4

 

c. 1/3

 

d. 3/8

 

 

 

 

 

 

There are basically two types of random variables; __________ and continuous random variables.

 

 

a. Exploratory

 

b. Independent

 

c. Discrete

 

d. Dependent

 

 

 

 

 

 

The closer the correlation coefficient is to zero, ___________ the degree of association between the variables under consideration

 

 

a. the clearer

 

b. the weaker

 

c. the stronger

 

d. the better

 

 

 

 

In regression analysis of the form as y = β 0 + β 1 x + e

, the variable x is known as

 

 

a. Yield

 

b. Dependent

 

c. Treatment

 

d. Independent

 

 

 

 

 

 

Which type of sampling technique involves dividing the population into groups or clusters and then randomly selecting entire clusters to form the sample?

 

 

a. Cluster sampling

 

b. Stratified sampling

 

c. Convenience sampling

 

d. Systematic sampling

 

 

 

 

 

 

An index number is used to:

 

 

a. Track the changes in a group of related variables over time

 

b. Calculate the average of a set of numbers

 

c. Measure the price level of a specific commodity

 

d. Compare two different commodities in different units

 

 

 

 

 

 

A correlation coefficient of 0 indicates that there is:

 

a. A perfect negative relationship between the variables

 

b. No relationship between the variables

 

c. A weak positive relationship between the variables

 

d. A perfect positive relationship between the variables

 

 

 

 

 

 

What is the primary purpose of statistics in scientific research?

 

 

a. To make data more confusing

 

b. To prove a hypothesis

 

c. To summarize and analyze data

 

d. To create fancy charts and graphs

 

 

 

 

 

 

In hypothesis testing, what is the level of significance (alpha) commonly set at to test the null hypothesis?

 

 

a. 0.01

 

b. 0.05

 

c. 0.001

 

d. 0.10

 

 

 

 

 

Which type of data is categorical and can be organized into groups or categories with no inherent order?

 

 

a. Nominal data

 

b. Interval data

 

c. Interval data

 

d. Ordinal data

 

 

 

 

 

 

Which type of sampling technique involves selecting every nth item from the population to form the sample?

 

 

a. Stratified sampling

 

b. Systematic sampling

 

 

c. Convenience sampling

 

d. Cluster sampling

 

 

 

 

 

Which type of sampling technique involves dividing the population into groups or clusters and then randomly selecting entire clusters to form the sample?

 

 

a. Cluster sampling

 

b. Stratified sampling

 

c. Convenience sampling

 

d. Systematic sampling

 

 

 

 

 

 

_________ measures the degree of relationship between two variables X and Y.

 

 

a. Correlation coefficient

 

b. Variance

 

c. Moment

 

d. Coefficient of variation

 

 

 

 

 

 

Which of the following statements is not an example of a continuous random variable?

 

 

a. The price for cheesecake in New York Style cheesecake

 

b. The weight gain in kilograms per month for a calf

 

c. The time it takes you to finish a statistics test

 

d. The number of mistakes made by a typist on a randomly chosen page of a manuscript

 

 

 

 

 

 

Which of the following is correct about the difference between a one-tailed test and a two-tailed test?

 

 

a. In a one-tailed test, the rejection region is always in the upper tails, while in a two-tailed test the rejection region is split between the tails.

 

b. In a one-tailed test, the rejection region is in one of the tails, while in a two-tailed test the rejection region is split between the tails

 

c. In a one-tailed test, the rejection region is always in the lower tails, while in a two-tailed test the rejection region is split between the tails.

 

d. In a two-tailed test, the rejection region is in one of the tails, while in a one-tailed test the rejection region is split between the tails.

 

 

Which of the following statement is true about the null hypothesis?

 

a. Can be estimated from the sample

 

b. Must not contain zero

 

c. It is an initial statement about the value of the parameter

 

d. Will always contain zero

 

 

 

 

 

 

The term ANOVA

 

 

a. has no special meaning

 

b. stands for Another Numeric Observation of the Variance

 

c. stands for Analysis of Variables

 

d. stands for Analysis of Variance

 

 

 

 

 

 

 

Which of the following statements is not an example of a discrete random variable?

 

a. The age of female respondents to a questionnaire about gender differences

 

b. The number of female respondents to a questionnaire about gender differences

 

c. The number of school-age children in a particular family

 

d. The number of sales a salesperson makes per year

 

 

 

 

 

 

Which of the following statements is not an example of a discrete random variable?

 

 

a. The age of female respondents to a questionnaire about gender differences

 

b. The number of female respondents to a questionnaire about gender differences

 

c. The number of school-age children in a particular family

 

d. The number of sales a salesperson makes per year

 

 

 

 

 

A statistic is to a sample as ___________ is to a population.

 

 

a. Estimate

 

b. Parameter

 

c. Average

 

d. Variance

 

 

In hypothesis testing the type of the test to be used (one or two tailed) is determined 

a. Critical region

 

b. Null hypothesis

 

c. Alternative hypothesis

 

d. Acceptance region

 

 

An index number is used to:

 

 

a. Measure the price level of a specific commodity

 

b. Calculate the average of a set of numbers

 

c. Track the changes in a group of related variables over time

 

d. Compare two different commodities in different units

 

 

 

 

 

 

Which level of measurement has a true zero point and allows for meaningful ratios between data points?

 

 

a. Ordinal

 

b. Nominal

 

c. Ratio

 

d. Interval

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What is the primary purpose of statistics in scientific research?

 

 

a. To create fancy charts and graphs

 

b. To summarize and analyze data

 

c. To prove a hypothesis

 

d.To make data more confusing

 

 

 

 

 

In estimation theory, what is a point estimate?

 

a. A measure of the dispersion of the sample data

 

b. A single value that is used to approximate the population parameter

 

c. The average of the sample data

 

 

d. A range of values that likely contains the population parameter

 

 

 

 

 

In the chi-square test for goodness of fit, the null hypothesis assumes that:

 

a. There is no association between the variables being tested

 

b. The sample size is too small to draw any conclusions

 

c.The sample is normally distributed

 

c. There is an association between the variables being tested.

 

 

 

Which index number formula considers the expenditure shares of the base year while constructing the index?

 

a. Marshall-Edgeworth Price Index

 

b. Fisher Price Index

 

c. Paasche Price Index

 

d. Laspeyres Price Index

 

 

 

 

 

Goodness of fit is a statistical technique used to:

 

 

a. Determine if an observed frequency distribution fits an expected theoretical distribution

 

b. Compare the means of two or more groups

 

c. Measure the correlation between two variables

 

d. Assess the variability of a dataset

 

 

 

 

 

 

Correlation is a statistical measure that describes the:

 

a. Difference between two variables

 

b. Causation between two variables

 

c. Strength and direction of the linear relationship between two variables

 

d. Proportion of variability explained by two variables

 

 

 

 

 

 

Which type of sampling technique involves selecting every nth item from the population to form the sample?

 

a. Cluster sampling

 

b. Systematic sampling

 

c. Convenience sampling

 

d. Stratified sampling

 

 

 

 

 

 

In hypothesis testing, what is the level of significance (alpha) commonly set at to test the null hypothesis?

 

a. 0.05

 

b. 0.01

 

c. 0.10

 

d. 0.001

 

 

 

 

 

There are basically two types of random variables; __________ and continuous random variables.

 

a. Independent

 

b. Discrete

 

c. Exploratory

 

d. Dependent

 

 

 

 

 

A random sample of size 18 and 12 were selected from two normal populations A and B respectively. To determine if there is a difference in the population means assuming independent sample and equal variances, the degrees of freedom will be

 

a. 30

 

b. 15

 

c. 29

 

d. 28

 

 

 

 

 

The term ANOVA

 

a. has no special meaning

 

b. stands for Analysis of Variables

 

c. stands for Analysis of Variance

 

d. stands for Another Numeric Observation of the Variance

 

 

 

 

 

Which of the following is correct about the difference between a one-tailed test and a two-tailed test?

 

a. In a one-tailed test, the rejection region is always in the upper tails, while in a two-tailed test the rejection region is split between the tails.

 

b. In a one-tailed test, the rejection region is always in the lower tails, while in a two-tailed test the rejection region is split between the tails.

 

c. In a one-tailed test, the rejection region is in one of the tails, while in a two-tailed test the rejection region is split between the tails

 

d. In a two-tailed test, the rejection region is in one of the tails, while in a one-tailed test the rejection region is split between the tails.

 

 

 

 

 

Which of the following statement is true about the null hypothesis?

 

 

a. Will always contain zero

 

 

b. It is an initial statement about the value of the parameter

 

 

c. Can be estimated from the sample

 

 

d. Must not contain zero

 

 

 

Which of the following statements is not an example of a continuous random variable?

 

a. The price for cheesecake in New York Style cheesecake

b. The number of mistakes made by a typist on a randomly chosen page of a manuscript

c. The time it takes you to finish a statistics test

d. The weight gain in kilograms per month for a calf

 

 

 

 

 

 

 

A statistic is to a sample as ___________ is to a population.

 

 

a. Parameter

b. Estimate

c. Variance

d. Average

 

 

 

 

 

 

 

Three cards are drawn randomly from a deck of cards one after the other with

 

replacement each time. Find the probability that the three cards are a 5, a heart and

 

a king.

 

a. 1/8

b. 1/676

c. 1/64

d. 1/52

 

 

 

 

 

 

 

Which of the following statements is an example of a continuous random variable?

 

a. The depth of Lake Michigan at a randomly chosen point on the surface

b. Total number of students taking a particular course

c. The number of credit units you registered for this semester

d. The number of gas stations in a city

 

 

 

 

 

 

Of a company’s employees, 30% are women and 6% are married women. Suppose an employee is selected at random. If the employee selected is a woman, what is the probability that she is married?

 

a. 0.06

b. 0.018

c. 0.30

d. 0.20

 

 

 

 

 

here are basically two types of random variables; __________ and continuous random variables.

 

a. Exploratory

b. Discrete

c. Independent

d. Dependent

 

 

 

 

 

 

Which of the following statements best describes the relationship between a parameter and a statistic?

 

a. A parameter is used to estimate a statistic

b. A parameter has a sampling distribution that can be used to determine what values the statistic is likely to have in repeated samples

c. A parameter has a sampling distribution with the statistic as its mean

d. A statistic is used to estimate a parameter

 

 

 

 

 

 

 

The closer the correlation coefficient is to zero, ___________ the degree of association between the variables under consideration

 

a. the stronger

b. the clearer

c. the weaker

d. the better

 

 

 

 

 

The form of the alternative hypothesis can be

 

 

a. one or two-tailed

 

 

b. one-tailed

 

 

c. neither one nor two-tailed

 

 

d. two-tailed

 

 

 

 

 

 

 

A random or unbiased assignment of individuals or items to treatment groups in order to average out extraneous (or nuisance) factor is called

 

 

a. Randomization

 

 

b. Error control

 

 

c. Replication

 

 

d. Experiment

 

 

 

 

 

 

 

In hypothesis testing the type of the test to be used (one or two tailed) is determined by

 

 

a. Null hypothesis

 

 

b. Acceptance region

 

 

c. Alternative hypothesis

 

 

d. Critical region

 

 

 

 

 

 

 

In a two tailed test, the level of significance is

 

 

a. Divided by 2

 

 

b. Subtracted from 2

 

 

c.Multiplied by 2

 

 

d.Added to 2

 

 

 

 

 

 

 

In regression analysis of the form as y=β 0 + β 1 x + e, the variable x is known as

 

 

a. Independent

 

 

b. Treatment

 

 

c. Yield

 

 

d. Dependent

 

 

 

 

 

 

 

Which of the following statements is not correct?

 

 

a. The number of movies you watched last year is an example of a continuous random variable

 

 

b. To study basic properties of discrete random variables, only the tools of discrete mathematics -summation and differences – are required.

 

 

c. The study of continuous random variables requires the continuous mathematics of the calculus integrals and derivatives.

 

 

d. In general, each outcome of an experiment can be associated with a number by specifying a degree of association.

 

 

 

What is the probability that two female students will be selected at random, one after the other, to participate in a research project from a class of 7 male and 3 female students?

 

 

a. 2/9

 

 

b. 1/10

 

 

c. 1/15

 

 

d. 3/10

 

 

 

 

 

 

 

In a two tailed test, the level of significance is

 

 

a. Subtracted from 2

 

 

b. Divided by 2….

 

 

c. Multiplied by 2

 

 

d. Added to 2

 

 

 

 

 

 

 

ANOVA F-test is said to be significant if

 

 

a. the alternative hypothesis of equality of treatment means is rejected based on the test criteria.

 

 

b. the null hypothesis of equality of treatment means is not rejected based on the test criteria.

 

 

c. the alternative hypothesis of equality of treatment means is not rejected based on the test criteria.

 

 

d. the null hypothesis of equality of treatment means is rejected based on the test criteria

 

 

 

In hypothesis testing the type of the test to be used (one or two tailed) is determined by

 

 

a. Acceptance region

 

 

b. Null hypothesis

 

 

c. Critical region

 

 

d. Alternative hypothesis

 

 

 

 

 

 

 

 

In hypotheses testing, the test value is obtained from

 

 

a. Test statistic

 

 

b. Hypotheses

 

 

c. Acceptance region

 

 

d. Critical region

 

 

 

 

 

 

 

The probability that Tope passes an exam is 1/3 and probabilities that his brother

 

and sister pass the same exam are 2/5 and 3/8 respectively. Find the probability that

 

the three of them will fail the exam.

 

 

a. 2/5

 

 

b. 1/4

 

 

c. 1/3

 

 

d. 3/8

 

 

 

 

 

 

There are basically two types of random variables; __________ and continuous random variables.

 

 

a. Exploratory

 

 

b.  Independent

 

 

c. Discrete

 

 

d. Dependent

 

 

 

 

 

 

The closer the correlation coefficient is to zero, ___________ the degree of association between the variables under consideration

 

 

a. the clearer

 

 

b. the weaker

 

c. the stronger

 

 

d. the better

 

 

 

 

 

 

In regression analysis of the form as y = B 0 + β 1 x e, the variable x is known as

 

 

a. Yield

 

b. Dependent

 

c. Treatment

 

d. Independent

 

 

 

Which type of sampling technique involves dividing the population into groups or clusters and then randomly selecting entire clusters to form the sample?

 

 

a. Cluster sampling

 

 

b. Stratified sampling

 

 

c. Convenience sampling

 

 

d. Systematic sampling

 

 

 

 

 

 

 

 

An index number is used to:

 

 

a. Track the changes in a group of related variables over time

 

 

b. Calculate the average of a set of numbers

 

 

c. Measure the price level of a specific commodity

 

 

d. Compare two different commodities in different units

 

 

 

 

 

 

A correlation coefficient of 0 indicates that there is:

 

 

a. A perfect negative relationship between the variables

 

 

b. No relationship between the variables

 

 

c. A weak positive relationship between the variables

 

 

d. A perfect positive relationship between the variables

 

 

 

What is the primary purpose of statistics in scientific research?

 

 

a. To make data more confusing

 

 

b. To prove a hypothesis

 

 

c. To summarize and analyze data

 

 

d. To create fancy charts and graphs

 

 

 

 

 

 

In hypothesis testing, what is the level of significance (alpha) commonly set at to test the null hypothesis?

 

 

a. 0.01

 

b. 0.05

 

c. 0.001

 

d. 0.10

 

 

 

 

 

 

Which type of data is categorical and can be organized into groups or categories with no inherent order?

 

 

a. Nominal data

 

 

b. Interval data

 

 

c. Interval data

 

 

d.Ordinal data

 

 

 

 

 

Which type of sampling technique involves selecting every nth item from the population to form the sample?

 

 

a.Stratified sampling

 

b.Systematic sampling

 

c.Convenience sampling

 

d.Cluster sampling

 

 

 

 

 

 

 

Which type of sampling technique involves dividing the population into groups or clusters and then randomly selecting entire clusters to form the sample?

 

 

a. Cluster sampling

 

b. Stratified sampling

 

c. Convenience sampling

 

d. Systematic sampling

 

 

 

 

 

 

_________ measures the degree of relationship between two variables X and Y.

 

 

a. Correlation coefficient

 

b. Variance

 

c. Moment

 

d. Coefficient of variation

 

 

 

 

 

 

Which of the following statements is not an example of a continuous random variable?

 

 

a. The price for cheesecake in New York Style cheesecake

 

b. The weight gain in kilograms per month for a calf

 

c. The time it takes you to finish a statistics test

 

d. The number of mistakes made by a typist on a randomly chosen page of a manuscript

 

 

 

 

 

 

 

 

Which of the following is correct about the difference between a one-tailed test and a two-tailed test?

 

 

a. In a one-tailed test, the rejection region is always in the upper tails, while in a two-tailed test the rejection region is split between the tails.

 

b. In a one-tailed test, the rejection region is in one of the tails, while in a two-tailed test the rejection region is split between the tails

 

c. In a one-tailed test, the rejection region is always in the lower tails, while in a two-tailed test the rejection region is split between the tails.

 

d. In a two-tailed test, the rejection region is in one of the tails, while in a one-tailed test the rejection region is split between the tails.

 

 

 

 

 

 

 

Which of the following statement is true about the null hypothesis?

 

 

a. Can be estimated from the sample

 

 

b. Must not contain zero

 

 

c. It is an initial statement about the value of the parameter

 

 

d. Will always contain zero

 

 

 

 

 

 

The term ANOVA

 

 

a. has no special meaning

 

 

b. stands for Another Numeric Observation of the Variance

 

 

c. stands for Analysis of Variables

 

 

d. stands for Analysis of Variance

 

 

 

 

 

 

Which of the following statements is not an example of a discrete random variable?

 

 

a. The age of female respondents to a questionnaire about gender differences

 

 

b. The number of female respondents to a questionnaire about gender differences

 

 

c. The number of school-age children in a particular family

 

 

d. The number of sales a salesperson makes per year

 

 

 

 

 

 

 

Which of the following statements is not an example of a discrete random variable?

 

 

a. The age of female respondents to a questionnaire about gender differences

 

 

b. The number of female respondents to a questionnaire about gender differences

 

 

c. The number of school-age children in a particular family

 

 

d. The number of sales a salesperson makes per year

 

 

 

 

A statistic is to a sample as ___________ is to a population.

 

a. Estimate

 

 

b. Parameter…..

 

 

c. Average

 

 

d. Variance

 

 

 

In hypothesis testing the type of the test to be used (one or two tailed) is determined by

 

 

a. Critical region

 

 

b. Null hypothesis

 

 

c. Alternative hypothesis       

 

 

d. Acceptance region

 

 

 

 

 

 

An index number is used to:

 

 

a. Measure the price level of a specific commodity

 

 

b. Calculate the average of a set of numbers

 

 

c. Track the changes in a group of related variables over time

 

 

d. Compare two different commodities in different units

 

 

 

Which level of measurement has a true zero point and allows for meaningful ratios between data points?

a. Ordinal

b. Nominal

c. Ratio

d. Interval

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Use the access below now!

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What is the primary purpose of statistics in scientific research?

 

 

a. To create fancy charts and graphs

 

 

b. To summarize and analyze data

 

 

c. To prove a hypothesis

 

 

d. To make data more confusing

 

 

 

In estimation theory, what is a point estimate?

 

 

a. A measure of the dispersion of the sample data

 

 

b. A single value that is used to approximate the population parameter

 

 

c. The average of the sample data

 

 

d. A range of values that likely contains the population parameter

 

 

 

In the chi-square test for goodness of fit, the null hypothesis assumes that:

 

 

a. There is no association between the variables being tested

 

 

b. The sample size is too small to draw any conclusions

 

 

c. The sample is normally distributed

 

 

d. There is an association between the variables being tested.

 

 

 

Which index number formula considers the expenditure shares of the base year while constructing the index?

 

 

a. Marshall-Edgeworth Price Index

 

 

b. Fisher Price Index

 

 

c.

Paasche Price Index

 

 

d.Laspeyres Price Index

 

 

 

Goodness of fit is a statistical technique used to:

 

 

a. Determine if an observed frequency distribution fits an expected theoretical distribution

 

 

b. Compare the means of two or more groups

 

 

c. Measure the correlation between two variables

 

 

d. Assess the variability of a dataset

 

 

 

Correlation is a statistical measure that describes the:

 

 

a. Difference between two variables

 

 

b. Causation between two variables

 

 

c. Strength and direction of the linear relationship between two variables

 

 

d. Proportion of variability explained by two variables

 

 

 

 

Which type of sampling technique involves selecting every nth item from the population to form the sample?

 

 

a. Cluster sampling

 

 

b. Systematic sampling

 

 

c. Convenience sampling

 

 

d. Stratified sampling

 

 

 

In hypothesis testing, what is the level of significance (alpha) commonly set at to test the null hypothesis?

 

 

a. 0.05.

 

 

b. 0.01

 

 

c. 0.10

 

 

d.0.001

 

 

 

 

 

There are basically two types of random variables; __________ and continuous random variables.

 

 

a. Independent

 

 

 

b. Discrete

 

 

c.Exploratory

 

 

d.Dependent

 

 

 

A random sample of size 18 and 12 were selected from two normal populations A and B respectively. To determine if there is a difference in the population means assuming independent sample and equal variances, the degrees of freedom will be

 

 

a. 30

 

 

b. 15

 

 

c. 29

 

 

d. 28

 

 

 

The term ANOVA

 

 

a. has no special meaning

 

 

b. stands for Analysis of Variables

 

 

c. stands for Analysis of Variance

 

 

d. stands for Another Numeric Observation of the Variance

 

 

 

Which of the following is correct about the difference between a one-tailed test and a two-tailed test?

 

 

a. In a one-tailed test, the rejection region is always in the upper tails, while in a two-tailed test the rejection region is split between the tails.

 

 

b. In a one-tailed test, the rejection region is always in the lower tails, while in a two-tailed test the rejection region is split between the tails.

 

 

c. In a one-tailed test, the rejection region is in one of the tails, while in a two-tailed test the rejection region is split between the tails

 

 

d. In a two-tailed test, the rejection region is in one of the tails, while in a one-tailed test the rejection region is split between the tails.

 

 

 

Which of the following statement is true about the null hypothesis?

 

 

a. Will always contain zero

 

 

b. It is an initial statement about the value of the parameter

 

 

c. Can be estimated from the sample

 

 

d. Must not contain zero

 

 

 

Which of the following statements is not an example of a continuous random variable?

 

 

a. The price for cheesecake in New York Style cheesecake

 

 

b. The number of mistakes made by a typist on a randomly chosen page of a manuscript….

 

 

c. The time it takes you to finish a statistics test

 

 

d. The weight gain in kilograms per month for a calf

 

 

 

A statistic is to a sample as ___________ is to a population.

 

 

a. Parameter

 

 

b. Estimate

 

 

c. Variance

 

 

d. Average

 

 

 

 

Three cards are drawn randomly from a deck of cards one after the other with

 

replacement each time. Find the probability that the three cards are a 5, a heart and

 

a king.

 

 

a. 1/8

 

 

b. 1/676…

 

 

c. 1/64

 

 

d. 1/52

 

 

 

Which of the following statements is an example of a continuous random variable?

 

 

a. The depth of Lake Michigan at a randomly chosen point on the surface

 

 

b. Total number of students taking a particular course

 

 

c. The number of credit units you registered for this semester

 

 

d. The number of gas stations in a city

 

 

 

Of a company’s employees, 30% are women and 6% are married women. Suppose an employee is selected at random. If the employee selected is a woman, what is the probability that she is married?

 

 

a. 0.06

 

 

b. 0.018

 

 

c. 0.30

 

 

d. 0.20

 

 

here are basically two types of random variables; __________ and continuous random variables.

 

 

a. Exploratory

 

 

b. Discrete

 

 

c. Independent

 

 

d. Dependent

 

 

Which of the following statements best describes the relationship between a parameter and a statistic?

 

 

a. A parameter is used to estimate a statistic

 

 

b. A parameter has a sampling distribution that can be used to determine what values the statistic is likely to have in repeated samples

 

 

c. A parameter has a sampling distribution with the statistic as its mean

 

 

d. A statistic is used to estimate a parameter

 

 

 

 

The closer the correlation coefficient is to zero, ___________ the degree of association between the variables under consideration

 

 

a. the stronger

 

 

b. the clearer

 

 

c. the weaker

 

 

d. the better

 

 

The form of the alternative hypothesis can be

 

 

a. one or two-tailed 

 

 

b. one-tailed

 

 

c. neither one nor two-tailed

 

 

d. two-tailed

 

 

 

A random or unbiased assignment of individuals or items to treatment groups in order to average out extraneous (or nuisance) factor is called

 

 

a. Randomization,,,,

 

 

b. Error control

 

 

c. Replication

 

 

d. Experiment

 

 

 

In hypothesis testing the type of the test to be used (one or two tailed) is determined by

 

 

a. Null hypothesis

 

 

b.Acceptance region

 

 

c.Alternative hypothesis

 

 

d.Critical region

 

 

 

 

In hypotheses testing, the test value is obtained from

 

 

a. Hypotheses

 

 

b. Acceptance region

 

 

c. Critical region

 

 

d. Test statistic

 

 

 

 

In a two tailed test, the level of significance is

 

 

a. Divided by 2

 

 

b. Subtracted from 2

 

 

c. Multiplied by 2

 

 

d. Added to 2

 

 

 

 

 

In regression analysis of the form as y=β 0 + β 1 x + e, the variable x is known as

 

a. Independent

 

b. Treatment

 

c. Yield

 

d. Dependent

 

 

STT206 TMA

 

In the chi-square test for goodness of fit, the null hypothesis assumes that:

a) There is no association between the variables being tested….

b) The sample is normally distributed

c) The sample size is too small to draw any conclusions

d) In the chi-square test for goodness of fit, the null hypothesis assumes that:

 

 

 

 

 

Which level of measurement has a true zero point and allows for meaningful ratios between data points?

Interval

Ordinal

Nominal

Ratio…

 

 

 

An index number is used to:

Compare two different commodities in different units

Track the changes in a group of related variables over time…

Calculate the average of a set of numbers

Measure the price level of a specific commodity

 

 

 

What is the primary purpose of statistics in scientific research?

To prove a hypothesis

To make data more confusing

To summarize and analyze data,,,,

To create fancy charts and graphs

 

 

 

 

Correlation is a statistical measure that describes the:

Strength and direction of the linear relationship between two variables………..

Causation between two variables

Difference between two variables

Proportion of variability explained by two variables

 

 

 

 

 

 

Which measure is used to quantify the spread or variability of a dataset?

Kurtosis

Mean

Skewness

Standard Deviation,……

 

 

 

 

In estimation theory, what is a point estimate?

A measure of the dispersion of the sample data

A single value that is used to approximate the population parameter….

The average of the sample data

A range of values that likely contains the population parameter

 

 

 

In hypothesis testing, what is the level of significance (alpha) commonly set at to test the null hypothesis?

0.05….

0.10

0.001

0.01

 

 

Which type of data is categorical and can be organized into groups or categories with no inherent order?

Ordinal data

Nominal data…

Interval data

Interval data

 

 

Which index number formula considers the expenditure shares of the base year while constructing the index?

Paasche Price Index

Fisher Price Index

Laspeyres Price Index….

Marshall-Edgeworth Price Index

 

 

 

 

Which of the following statements is not an example of a continuous random variable?

a.The weight gain in kilograms per month for a calf

b.The time it takes you to finish a statistics test

c.The price for cheesecake in New York Style cheesecake

d.The number of mistakes made by a typist on a randomly chosen page of a manuscript……

 

 

A formula or rule used for estimating the parameter is called

a.Estimate

b.Estimator….

c.Estimation

d.Estimating

 

 

 

Which of the following statements is an example of a continuous random variable?

a.The number of credit units you registered for this semester

b.The depth of Lake Michigan at a randomly chosen point on the surface….

c.The number of gas stations in a city

d.Total number of students taking a particular course

 

 

 

Three cards are drawn randomly from a deck of cards one after the other with

replacement each time. Find the probability that the three cards are a 5, a heart and

a king.

a.1/52

b.1/8

c.1/64

d.1/676…

 

 

 

Which of the following statements is not an example of a discrete random variable?

a.The age of female respondents to a questionnaire about gender differences…..

b.The number of school-age children in a particular family

c.The number of sales a salesperson makes per year

d.The number of female respondents to a questionnaire about gender differences

 

 

 

 

Given that P(A) = 2/5, P(B) = 1/2, P(A n B) = 1/5, find the P(B/A)

a.2/3

b.1/2

c.2/5

d.1/5……..

 

 

 

 

The term ANOVA

a.has no special meaning

b.stands for Analysis of Variance….

c.stands for Another Numeric Observation of the Variance

d.stands for Analysis of Variables

 

 

 

 

Which of the following is correct about the difference between a one-tailed test and a two-tailed test?

a.In a one-tailed test, the rejection region is always in the lower tails, while in a two-tailed test the rejection region is split between the tails.

b.In a one-tailed test, the rejection region is in one of the tails, while in a two-tailed test the rejection region is split between the tails………

 

 

c.In a two-tailed test, the rejection region is in one of the tails, while in a one-tailed test the rejection region is split between the tails.

d.In a one-tailed test, the rejection region is always in the upper tails, while in a two-tailed test the rejection region is split between the tails.

 

 

 

Which of the following statement is true about the null hypothesis?

a.Will always contain zero

b.Must not contain zero

c.It is an initial statement about the value of the parameter…..

d.Can be estimated from the sample

 

 

In hypothesis testing the type of the test to be used (one or two tailed) is determined by

a.Null hypothesis

b.Alternative hypothesis…..

c.Acceptance region

d.Critical region

 

 

 

 

Two random samples each of size 18 was selected from two normal populations, A and B, respectively. To determine if significant difference exists in the population means. Assume that the samples are related, the degrees of freedom for the test to be carried out is

a.17….

b.35

c.9

d.34

 

 

 

In hypothesis testing the type of the test to be used (one or two tailed) is determined by

a.Critical region

b.Acceptance region

c.Alternative hypothesis…

d.Null hypothesis

 

 

ANOVA F-test is said to be significant if

a.the null hypothesis of equality of treatment means is not rejected based on the test criteria.

b.the null hypothesis of equality of treatment means is rejected based on the test criteria…….

c.the alternative hypothesis of equality of treatment means is not rejected based on the test criteria.

d.the alternative hypothesis of equality of treatment means is rejected based on the test criteria.

 

 

There are basically two types of random variables; __________ and continuous random variables.

a.Exploratory

b.Discrete……

c.Dependent

d.Independent

 

 

 

In a two tailed test, the level of significance is

a.Added to 2

b.Divided by 2….

c.Multiplied by 2

d.Subtracted from 2

 

In a two tailed test, the level of significance is

a.Divided by 2……

b.Added to 2

c.Multiplied by 2

d.Subtracted from 2

 

A random or unbiased assignment of individuals or items to treatment groups in order to average out extraneous (or nuisance) factor is called

a.Randomization……….

b.Error control

c.Experiment

d.Replication

 

 

 

 

 

Which of the following statements best describes the relationship between a parameter and a statistic?

a.A parameter has a sampling distribution with the statistic as its mean

b.A parameter is used to estimate a statistic

c.A parameter has a sampling distribution that can be used to determine what values the statistic is likely to have in repeated samples

d.A statistic is used to estimate a parameter…..

 

In regression analysis of the form as y=β0+β1x+e, the variable x is known as

a.Treatment

b.Dependent

c.Independent….

d.Yield

 

 

Which of the following statements is not correct?

a.The number of movies you watched last year is an example of a continuous random variable……….

b.In general, each outcome of an experiment can be associated with a number by specifying a degree of association.

c.To study basic properties of discrete random variables, only the tools of discrete mathematics -summation and differences – are required.

d.The study of continuous random variables requires the continuous mathematics of the calculus integrals and derivatives.

 

 

The closer the correlation coefficient is to zero, ___________ the degree of association between the variables under consideration

a.the stronger

b.the weaker…..

c.the better

d.the clearer

 

 

In hypothesis testing the type of the test to be used (one or two tailed) is determined by

a.Critical region

b.Alternative hypothesis….

c.Null hypothesis

d.Acceptance region

 

 

A random or unbiased assignment of individuals or items to treatment groups in order to average out extraneous (or nuisance) factor is called

a.Randomization….

b.Experiment

c.Error control

d.Replication

 

 

Which of the following statements best describes the relationship between a parameter and a statistic?

a.A parameter has a sampling distribution with the statistic as its mean

b.A parameter is used to estimate a statistic

c.A statistic is used to estimate a parameter.…

d.A parameter has a sampling distribution that can be used to determine what values the statistic is likely to have in repeated samples

 

 

The fraction or ratio of a sample possessing a certain trait is called a

a.Sample

b.Proportion….

c.Population

d.Mean

 

 

Which of the following statements is not correct?

a.The number of movies you watched last year is an example of a continuous random variable…..

b.In general, each outcome of an experiment can be associated with a number by specifying a degree of association.

c.The study of continuous random variables requires the continuous mathematics of the calculus integrals and derivatives.

d.To study basic properties of discrete random variables, only the tools of discrete mathematics -summation and differences – are required.

 

 

The probability that Tope passes an exam is 1/3 and probabilities that his brother

and sister pass the same exam are 2/5 and 3/8 respectively. Find the probability that

the three of them will fail the exam.

 

a.1/4…

b.1/3

c.2/5

d.3/8

 

 

Two random samples each of size 18 was selected from two normal populations, A and B, respectively. To determine if significant difference exists in the population means. Assume that the samples are related, the degrees of freedom for the test to be carried out is

 

a.34

b.35

c.9

d.17….

 

 

 

Of a company’s employees, 30% are women and 6% are married women. Suppose an employee is selected at random. If the employee selected is a woman, what is the probability that she is married?

a.0.06

b.0.30

c.0.20….

d.0.018

 

 

Compute the limit: limx→0sin(2x)x

0

-1

1

2….

 

 

Consider the linear programming problem: Maximize Z=2x+3y subject to the constraints: x+2y≤62x+y≤8x,y≥0 What is the feasible region for this problem?

A pentagon

A quadrilateral…

A hexagon

A triangle

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