Question 1

The nonparametric test to determine if a sequence is random is ________.

Accepted Answer

A)  Wilcoxon signed-rank test 
B)  Wald-Wolfowitz runs test 
C)  the sign test 
D)  Spearman's rank correlation test 
A)  Wilcoxon signed-rank test 
B)  Wald-Wolfowitz runs test 
C)  the sign test 
D)  Spearman's rank correlation test

Question 2

A pawn shop claims to sell used Kindles for about the same price as Amazon or eBay. Both online retailers sell used Kindles for around $150. Below are recent Kindle sales prices for the pawn shop.   Which of the following are the competing hypotheses to determine if the median sale price is greater than $150?

Accepted Answer

A)  H0: m ≤ 150; HA: m > 150 
B)  H0: m ≥ 150; HA: m 0: m ≠ 150; HA: m = 150 
D)  H0: m = 150; HA: m ≠ 150 
A)  H0: m ≤ 150; HA: m > 150 
B)  H0: m ≥ 150; HA: m 0: m ≠ 150; HA: m = 150 
D)  H0: m = 150; HA: m ≠ 150

Question 3

An accountant wants to know if the property taxes paid by clients who live in the city are different from those who live in the county. The property taxes paid by five clients from the city (sample 1) and five clients from the county (sample 2) are shown below.   At the 5% significance level, the critical values are ________.

Accepted Answer

A)  18 and 37 
B)  19 and 36 
C)  18 and 36 
D)  19 and 37 
A)  18 and 37 
B)  19 and 36 
C)  18 and 36 
D)  19 and 37

Question 4

A company that produces financial accounting software wants to offer better training to its customers. The training is intended to decrease the amount of time required to do complicated accounting calculations. For seven individuals, the amount of time (in minutes) to complete a complicated calculation is determined before and after completing the new training.   For the Wilcoxon signed-rank test for the matched-pairs sample, the competing hypotheses are ________.

Accepted Answer

A) H0: mD ≤ 0; HA: mD > 0 B) H0: mD = 0; HA: mD ≠ 0 C) H0: mD ≠ 0; HA: mD = 0 D) H0: mD ≥ 0; HA: mD < 0 A) H0: mD ≤ 0; HA: mD > 0 B) H0: mD = 0; HA: mD ≠ 0 C) H0: mD ≠ 0; HA: mD = 0 D) H0: mD ≥ 0; HA: mD < 0

Question 5

An accountant wants to know if the property taxes paid by clients who live in the city are different from those who live in the country. The property taxes paid by five clients from the city (sample 1) and five clients from the country (sample 2) are shown below.   Using the critical value approach and α = 0.05, the appropriate conclusion is ________.

Accepted Answer

A)  reject the null hypothesis; we cannot conclude the median taxes paid in the city differs from the median taxes paid in the country 
B)  do not reject the null hypothesis; conclude the median taxes paid in the city differs from the median taxes paid in the country 
C)  reject the null hypothesis; we can conclude the median taxes paid in the city differs from the median taxes paid in the country 
D)  do not reject the null hypothesis; we cannot conclude the median taxes paid in the city differs from the median taxes paid in the country 
A)  reject the null hypothesis; we cannot conclude the median taxes paid in the city differs from the median taxes paid in the country 
B)  do not reject the null hypothesis; conclude the median taxes paid in the city differs from the median taxes paid in the country 
C)  reject the null hypothesis; we can conclude the median taxes paid in the city differs from the median taxes paid in the country 
D)  do not reject the null hypothesis; we cannot conclude the median taxes paid in the city differs from the median taxes paid in the country

Question 6

Investment institutions usually have funds with different risk versus reward prospectuses. A trading magazine wants to determine if the returns of high-risk funds is greater than low-risk funds. The magazine records the return of high- and low-risk funds for a sample of 22 institutions. For the Wilcoxon signed-rank test, where D = high-risk return − low-risk return, the value of the test statistic is T = T+ = 185. Using the critical value approach and α = 0.10, the appropriate conclusion is ________.

Accepted Answer

A)  to reject the null hypothesis; we cannot conclude the median difference of the returns is greater than zero 
B)  do not reject the null hypothesis; we cannot conclude the median difference of the returns is greater than zero 
C)  to reject the null hypothesis; we can conclude the median difference of the returns is greater than zero 
D)  do not reject the null hypothesis; we can conclude the median difference of the returns is greater than zero 
A)  to reject the null hypothesis; we cannot conclude the median difference of the returns is greater than zero 
B)  do not reject the null hypothesis; we cannot conclude the median difference of the returns is greater than zero 
C)  to reject the null hypothesis; we can conclude the median difference of the returns is greater than zero 
D)  do not reject the null hypothesis; we can conclude the median difference of the returns is greater than zero

Question 7

A magician has a coin that may or may not be fair. The results of 30 flips of the coin are H H T H T H H T H H T H H T H T H H H T T T T T H H H H H T. To determine if the coin is fair using the Wald-Wolfowitz runs test, the competing hypotheses are ________.

Accepted Answer

A)  H0: Heads and tails do not occur randomly; HA: Heads and tails occur randomly 
B)  H0: Heads and tails occur randomly; HA: Heads and tails do not occur randomly 
C)  H0: Heads and tails occur randomly; HA: Heads are more likely 
D)  H0: Heads and tails occur randomly; HA: Tails are more likely 
A)  H0: Heads and tails do not occur randomly; HA: Heads and tails occur randomly 
B)  H0: Heads and tails occur randomly; HA: Heads and tails do not occur randomly 
C)  H0: Heads and tails occur randomly; HA: Heads are more likely 
D)  H0: Heads and tails occur randomly; HA: Tails are more likely

Question 8

If we wish to compare central tendencies from nonnormal populations, then the Wilcoxon signed-rank test serves as the nonparametric counterpart to the ________ test.

Accepted Answer

The answer of If we wish to compare central tendencies...

Question 9

The Kruskal-Wallis test is a nonparametric alternative to the ________ test that can be used when the assumptions of normality and/or equal population variances cannot be validated.

Accepted Answer

The answer of The Kruskal-Wallis test is a nonparametric alternative...

Question 10

A pawn shop claims to sell used Kindles for about the same price as Amazon or eBay. Both online retailers sell used Kindles for around $150. Below are recent Kindle sales prices for the pawn shop.   At the 5% significance level, the critical value is ________.

Accepted Answer

A)  2 
B)  19 
C)  0 
D)  28 
A)  2 
B)  19 
C)  0 
D)  28

Question 11

A sports agent wants to understand the differences in the annual earnings of players in different sports. The following table shows the annual earnings (in million $) of 52 athletes. For the Kruskal-Wallis test, the rank sums for each group are at the bottom of the table.   At the 1% significance level, the critical value is ________.

Accepted Answer

A)  11.345 
B)  9.348 
C)  7.815 
D)  6.251 
A)  11.345 
B)  9.348 
C)  7.815 
D)  6.251

Question 12

Parametric tests typically assume the underlying population to be normally distributed.

Accepted Answer

A) True 
 B)False

Question 13

If n ≥ 10, the sampling distribution of the Spearman rank correlation coefficient can be approximated by the normal distribution with ________.

Accepted Answer

A)  µ = 0 and σ =   
B)  µ = 1 and σ =   
C)  µ = 0 and σ =   
D)  µ = 0 and σ =   
A)  µ = 0 and σ =   
B)  µ = 1 and σ =   
C)  µ = 0 and σ =   
D)  µ = 0 and σ =

Question 14

For the Wilcoxon signed-rank test with n ≥ 10, the sampling distribution of the test statistic can be approximated by the normal distribution with standard deviation ________.

Accepted Answer

A)  σT =   
B)  σT =   
C)  σT =   
D)  σT =   
A)  σT =   
B)  σT =   
C)  σT =   
D)  σT =

Question 15

The sign test for a matched-pairs sample is similar to the Wilcoxon signed-rank test but applied to ordinal data.

Accepted Answer

A) True 
 B)False

Question 16

The nonparametric test for ordinal data based on matched-pairs sampling is the ________.

Accepted Answer

A)  Wilcoxon signed-rank test 
B)  Wald-Wolfowitz runs test 
C)  the sign test 
D)  Spearman's rank correlation test 
A)  Wilcoxon signed-rank test 
B)  Wald-Wolfowitz runs test 
C)  the sign test 
D)  Spearman's rank correlation test

Question 17

For the Wilcoxon rank-sum test when the sample sizes are at least 10, the sampling distribution of the test statistic can be approximated by the normal distribution with mean ________.

Accepted Answer

A)  μW =   
B)  μW =   
C)  μW =   
D)  μW =   
A)  μW =   
B)  μW =   
C)  μW =   
D)  μW =

Question 18

For the Kruskal-Wallis test with ni ≥ 5, the sampling distribution of the test statistic, H, can be approximated by the ________.

Accepted Answer

A)  normal distribution 
B)  F distribution 
C)  chi-square distribution 
D)  t distribution 
A)  normal distribution 
B)  F distribution 
C)  chi-square distribution 
D)  t distribution

Question 19

A trading magazine wants to determine the number of hours stockbrokers work each week. In particular, the trading magazine wants to determine if the median number of hours worked per week differs from 100 hours. The magazine samples 18 traders. For the Wilcoxon signed-rank test, the value of the test statistic is T = T+ = 153. At the 1% significance level, the critical value is ________.

Accepted Answer

A)  1.645 
B)  1.96 
C)  2.33 
D)  2.575 
A)  1.645 
B)  1.96 
C)  2.33 
D)  2.575

Question 20

A fund manager wants to know if the annual rate of return is greater for growth stocks (sample 1) than for value stocks (sample 2). The fund manager collects data on the returns of growth and value funds. Below are the sample sizes and rank sums for the Wilcoxon rank-sum test.   At the 1% significance level, the critical value is ________.

Accepted Answer

A)  1.645 
B)  1.96 
C)  2.33 
D)  2.575 
A)  1.645 
B)  1.96 
C)  2.33 
D)  2.575

The nonparametric test to determine if a sequence is random is ________.

A magician has a coin that may or may not be fair. The results of 30 flips of the coin are H H T H T H H T H H T H H T H T H H H T T T T T H H H H H T. To determine if the coin is fair using the Wald-Wolfowitz runs test, the competing hypotheses are ________.

If we wish to compare central tendencies from nonnormal populations, then the Wilcoxon signed-rank test serves as the nonparametric counterpart to the ________ test.

The Kruskal-Wallis test is a nonparametric alternative to the ________ test that can be used when the assumptions of normality and/or equal population variances cannot be validated.

A pawn shop claims to sell used Kindles for about the same price as Amazon or eBay. Both online retailers sell used Kindles for around $150. Below are recent Kindle sales prices for the pawn shop. At the 5% significance level, the critical value is ________.

Parametric tests typically assume the underlying population to be normally distributed.

If n ≥ 10, the sampling distribution of the Spearman rank correlation coefficient can be approximated by the normal distribution with ________.

For the Wilcoxon signed-rank test with n ≥ 10, the sampling distribution of the test statistic can be approximated by the normal distribution with standard deviation ________.

The sign test for a matched-pairs sample is similar to the Wilcoxon signed-rank test but applied to ordinal data.

The nonparametric test for ordinal data based on matched-pairs sampling is the ________.

For the Wilcoxon rank-sum test when the sample sizes are at least 10, the sampling distribution of the test statistic can be approximated by the normal distribution with mean ________.

For the Kruskal-Wallis test with n_i ≥ 5, the sampling distribution of the test statistic, H, can be approximated by the ________.

Statistics and Data

Tabular and Graphical Methods

Numerical Descriptive Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Testing

Statistical Inference Concerning Two Populations

Statistical Inference Concerning Variance

Chi-Square Tests

Analysis of Variance

Regression Analysis

Inference With Regression Models

Regression Models for Nonlinear Relationships

Regression Models With Dummy Variables

Time Series and Forecasting

Returns, Index Numbers, and Inflation

Filters

Exam 20: Nonparametric Tests

The nonparametric test to determine if a sequence is random is ________.

A magician has a coin that may or may not be fair. The results of 30 flips of the coin are H H T H T H H T H H T H H T H T H H H T T T T T H H H H H T. To determine if the coin is fair using the Wald-Wolfowitz runs test, the competing hypotheses are ________.

If we wish to compare central tendencies from nonnormal populations, then the Wilcoxon signed-rank test serves as the nonparametric counterpart to the ________ test.

The Kruskal-Wallis test is a nonparametric alternative to the ________ test that can be used when the assumptions of normality and/or equal population variances cannot be validated.

A pawn shop claims to sell used Kindles for about the same price as Amazon or eBay. Both online retailers sell used Kindles for around $150. Below are recent Kindle sales prices for the pawn shop. At the 5% significance level, the critical value is ________.

Parametric tests typically assume the underlying population to be normally distributed.

If n ≥ 10, the sampling distribution of the Spearman rank correlation coefficient can be approximated by the normal distribution with ________.

For the Wilcoxon signed-rank test with n ≥ 10, the sampling distribution of the test statistic can be approximated by the normal distribution with standard deviation ________.

The sign test for a matched-pairs sample is similar to the Wilcoxon signed-rank test but applied to ordinal data.

The nonparametric test for ordinal data based on matched-pairs sampling is the ________.

For the Wilcoxon rank-sum test when the sample sizes are at least 10, the sampling distribution of the test statistic can be approximated by the normal distribution with mean ________.

For the Kruskal-Wallis test with ni ≥ 5, the sampling distribution of the test statistic, H, can be approximated by the ________.

Statistics and Data

Tabular and Graphical Methods

Numerical Descriptive Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Testing

Statistical Inference Concerning Two Populations

Statistical Inference Concerning Variance

Chi-Square Tests

Analysis of Variance

Regression Analysis

Inference With Regression Models

Regression Models for Nonlinear Relationships

Regression Models With Dummy Variables

Time Series and Forecasting

Returns, Index Numbers, and Inflation

Filters

For the Kruskal-Wallis test with n_i ≥ 5, the sampling distribution of the test statistic, H, can be approximated by the ________.