Question 1

The Wilcoxon signed ranks test is the nonparametric counterpart of the

Accepted Answer

A)  large sample test about a single population mean. 
B)  two independent samples t test. 
C)  one-way ANOVA F test. 
D)  paired difference t test. 
E)  F test for equality of population variances. 
A)  large sample test about a single population mean. 
B)  two independent samples t test. 
C)  one-way ANOVA F test. 
D)  paired difference t test. 
E)  F test for equality of population variances.

Question 2

A cholesterol test was given to ten heart patients with high cholesterol levels.The same ten heart patients are then given a new cholesterol-reducing drug for six months.Before the patients begin taking the drug,they are told to maintain their current diets and eating habits so that the effect of the drug can be more effectively determined.After taking the drug for six months,the same patients are given a cholesterol test again.The cholesterol levels before and after taking the drug are given below.The cholesterol level readings are not normally distributed.At α = .05,test to determine if the drug is helpful in reducing cholesterol levels.Cholesterol level Patient

Accepted Answer

A)  Reject the null hypothesis. 
B)  Do not reject the null hypothesis. 
A)  Reject the null hypothesis. 
B)  Do not reject the null hypothesis.

Question 3

Parametric tests,such as F and t tests,are more powerful than their nonparametric counterparts if the assumptions needed to perform the parametric test are not violated.

Accepted Answer

A) True 
 B)False

Question 4

Refer to the MegaStat/Excel output for the Wilcoxon signed ranks test given in the table below.   At a significance level of .01,which one of the following rejection point conditions is correct regarding the null hypothesis,H0: D1 and D2 are identical probability distributions,and the alternative hypothesis of Ha: D1 is shifted to the left of D2.

Accepted Answer

A)  T− ≤ 2 
B)  T+ ≤ 2 
C)  T− ≤ 0 
D)  T− ≤ 6 
E)  The smaller of T+ or T− is less than 8. 
A)  T− ≤ 2 
B)  T+ ≤ 2 
C)  T− ≤ 0 
D)  T− ≤ 6 
E)  The smaller of T+ or T− is less than 8.

Question 5

A sign test is a test of hypothesis about the population mean.

Accepted Answer

A) True 
 B)False

Question 6

A professional organization is attempting to determine whether salaries of hospital CFOs differ by geographical region.Five hospital CFOs were randomly selected from each of the following four regions of the United States: East,Midwest,South,and West.Each CFO was then asked his or her annual salary.The salary distributions were highly skewed.The table below summarizes the results of the Kruskal-Wallis test obtained from MegaStat/Excel.   At a significance level of .05,which one of the following statements is correct regarding the following null hypothesis? H0: The four populations under consideration have identical salaries.

Accepted Answer

A)  We reject H0 and conclude that there is very strong evidence that the median hospital CFO salaries differ among all four regions in the United States. 
B)  We failed to reject H0 and conclude that there is not sufficient evidence that the median hospital CFO salaries differ among any of the four regions of the United States. 
C)  We do not reject H0 and conclude that there is only adequate evidence that the median hospital CFO salaries differ between at least two of the four regions in the United States. 
D)  We reject H0 and conclude that there is strong evidence that the median hospital CFO salaries differ between at least two of the four regions in the United States. 
E)  We do not reject H0 and conclude that all 4 populations under consideration are identical in their locations. 
A)  We reject H0 and conclude that there is very strong evidence that the median hospital CFO salaries differ among all four regions in the United States. 
B)  We failed to reject H0 and conclude that there is not sufficient evidence that the median hospital CFO salaries differ among any of the four regions of the United States. 
C)  We do not reject H0 and conclude that there is only adequate evidence that the median hospital CFO salaries differ between at least two of the four regions in the United States. 
D)  We reject H0 and conclude that there is strong evidence that the median hospital CFO salaries differ between at least two of the four regions in the United States. 
E)  We do not reject H0 and conclude that all 4 populations under consideration are identical in their locations.

Question 7

The signed ranks test is the nonparametric counterpart of the

Accepted Answer

A)  small-sample t test about a single population mean. 
B)  two independent samples t test. 
C)  one-way ANOVA F test. 
D)  paired difference t test. 
E)  F test for equality of population variances. 
A)  small-sample t test about a single population mean. 
B)  two independent samples t test. 
C)  one-way ANOVA F test. 
D)  paired difference t test. 
E)  F test for equality of population variances.

Question 8

In order to perform the ________________,all of the observations in p samples are combined into a single set and all of the values in the single set are ranked from smallest to largest.After ranking,the sum of the ranks for each of the p samples is calculated.

Accepted Answer

A)  Wilcoxon rank sum test 
B)  Kruskal-Wallis H test 
C)  Wilcoxon signed ranks test 
D)  sign test 
A)  Wilcoxon rank sum test 
B)  Kruskal-Wallis H test 
C)  Wilcoxon signed ranks test 
D)  sign test

Question 9

The Wilcoxon rank sum test is a nonparametric test used to compare the central tendencies of two populations when a paired difference experiment has been conducted.

Accepted Answer

A) True 
 B)False

Question 10

Nonparametric tests can be more powerful than the corresponding t or F tests if the population distribution is highly skewed or nonnormal.

Accepted Answer

A) True 
 B)False

Question 11

Which one of the following nonparametric methods can be used to compare more than two independent populations in a single test?

Accepted Answer

A)  Wilcoxon signed ranks test 
B)  sign test 
C)  Kruskal-Wallis test 
D)  Wilcoxon rank sum test 
E)  Spearman's test 
A)  Wilcoxon signed ranks test 
B)  sign test 
C)  Kruskal-Wallis test 
D)  Wilcoxon rank sum test 
E)  Spearman's test

Question 12

Refer to the MegaStat/Excel output for the Wilcoxon signed ranks test given in the table below.   At a significance level of .01,which one of the following rejection point conditions is correct regarding the null hypothesis,H0: D1 and D2 are identical probability distributions,and the alternative hypothesis of Ha: D1 is shifted to the left of D2.

Accepted Answer

A)  We reject H0 and conclude there is not sufficient evidence that the probability distribution of population 1 is shifted to the left of the probability distribution of population 2. 
B)  We cannot reject H0 and conclude there is not sufficient evidence that the probability distribution of population 1 is shifted to the left of the probability distribution of population 2. 
C)  We reject H0 and conclude there is very strong evidence that the probability distribution of population 1 is shifted to the left of the probability distribution of population 2. 
D)  We do not reject H0 and conclude there is very strong evidence that the probability distribution of population 1 is shifted to the left or to the right of the probability distribution of population 2. 
E)  We do not reject H0 and conclude there is very strong evidence that the probability distribution of population 1 is identical to the probability distribution of population 2. 
A)  We reject H0 and conclude there is not sufficient evidence that the probability distribution of population 1 is shifted to the left of the probability distribution of population 2. 
B)  We cannot reject H0 and conclude there is not sufficient evidence that the probability distribution of population 1 is shifted to the left of the probability distribution of population 2. 
C)  We reject H0 and conclude there is very strong evidence that the probability distribution of population 1 is shifted to the left of the probability distribution of population 2. 
D)  We do not reject H0 and conclude there is very strong evidence that the probability distribution of population 1 is shifted to the left or to the right of the probability distribution of population 2. 
E)  We do not reject H0 and conclude there is very strong evidence that the probability distribution of population 1 is identical to the probability distribution of population 2.

Question 13

Refer to the MegaStat/Excel output for the Wilcoxon rank sum test given in the table below.   At a significance level of .05,which one of the following statements is correct regarding the following null hypothesis? H0: D1 and D2 are identical probability distributions.

Accepted Answer

A)  We reject H0 and conclude there is very strong evidence that the median value of the first sample significantly differs from the median value of the second sample. 
B)  We reject H0 and conclude there is very strong evidence that the median value of the first sample is significantly less than the median value of the second sample. 
C)  We do not reject H0 and conclude there is not sufficient evidence that the median value of the first sample is significantly less than the median value of the second sample. 
D)  We do not reject H0 and conclude there is insufficient evidence to conclude that the median value of the first sample is not significantly different from the median value of the second sample. 
E)  We do not reject H0 and conclude there is very strong evidence that the median value of the first sample is significantly greater than the median value of the second sample. 
A)  We reject H0 and conclude there is very strong evidence that the median value of the first sample significantly differs from the median value of the second sample. 
B)  We reject H0 and conclude there is very strong evidence that the median value of the first sample is significantly less than the median value of the second sample. 
C)  We do not reject H0 and conclude there is not sufficient evidence that the median value of the first sample is significantly less than the median value of the second sample. 
D)  We do not reject H0 and conclude there is insufficient evidence to conclude that the median value of the first sample is not significantly different from the median value of the second sample. 
E)  We do not reject H0 and conclude there is very strong evidence that the median value of the first sample is significantly greater than the median value of the second sample.

Question 14

The Wilcoxon signed ranks test is also called the Mann-Whitney test.

Accepted Answer

A) True 
 B)False

Question 15

An e-business/e-commerce information technology consulting company wants to compare the effectiveness of three programming languages that its programmers use.Currently each programming language is used by approximately 1/3 of the programmers employed by the company.The director of the programming division randomly selected 5 programmers from the users of each of the three programming languages and assigned the same simple programming task to each programmer.It is known that all three populations have highly skewed distributions with extreme outliers.Which one of the following nonparametric tests is appropriate for this problem?

Accepted Answer

A)  Wilcoxon signed ranks test 
B)  Wilcoxon rank sum test 
C)  sign test 
D)  Kruskal-Wallis test 
E)  Spearman's rank correlation test 
A)  Wilcoxon signed ranks test 
B)  Wilcoxon rank sum test 
C)  sign test 
D)  Kruskal-Wallis test 
E)  Spearman's rank correlation test

Question 16

The Wilcoxon rank sum test is used to compare the locations of two _____________ populations.

Accepted Answer

A)  dependent 
B)  normal 
C)  independent 
D)  similar 
A)  dependent 
B)  normal 
C)  independent 
D)  similar

Question 17

In a local ice skating contest,there were 2 judges and 15 contestants.Each judge was asked to rate each contestant on a 7-point scale.The most successful candidates received a rating value of 7,while the least successful candidates received a rating value of 1.It appears that the bivariate normal probability distribution assumption was severely violated.The City Council wants to know whether the judges have similar opinions in rating ice skating competitors.At a significance level of .01,the rejection point condition for the hypothesis test is

Accepted Answer

A)  reject H0 if rs > .457. 
B)  reject H0 if rs > .623. 
C)  reject H0 if rs > .441. 
D)  reject H0 if rs > .646. 
E)  reject H0 if rs > .689. 
A)  reject H0 if rs > .457. 
B)  reject H0 if rs > .623. 
C)  reject H0 if rs > .441. 
D)  reject H0 if rs > .646. 
E)  reject H0 if rs > .689.

Question 18

Which one of the following nonparametric methods can be considered as an extension of the Wilcoxon rank sum test?

Accepted Answer

A)  Wilcoxon signed ranks test 
B)  sign test 
C)  Kruskal-Wallis test 
D)  Spearman's test 
A)  Wilcoxon signed ranks test 
B)  sign test 
C)  Kruskal-Wallis test 
D)  Spearman's test

Question 19

Assume that the following data set is not normally distributed.(21,18,4,9,14,16,17,12,15,8,7,5) If Ha: Md > 6,then the p value is

Accepted Answer

A)  .0161. 
B)  .0029. 
C)  .0537. 
D)  .0322. 
E)  .0192. 
A)  .0161. 
B)  .0029. 
C)  .0537. 
D)  .0322. 
E)  .0192.

Question 20

A professional organization is attempting to determine whether salaries of hospital CFOs differ by geographical region.Five hospital CFOs were randomly selected from each of the following four regions of the United States: East,Midwest,South,and West.Each CFO was then asked his or her annual salary.The salary distributions were highly skewed.The table below summarizes the results of the Kruskal-Wallis test obtained from MegaStat/Excel.   At a significance level of .05,the rejection point condition for the hypothesis test is

Accepted Answer

A)  reject H0 if χ2 > 9.3484. 
B)  reject H0 if χ2 > 30.1435. 
C)  reject H0 if χ2 > 7.81473. 
D)  reject H0 if χ2 > .341846. 
E)  reject H0 if χ2 > 32.8523. 
A)  reject H0 if χ2 > 9.3484. 
B)  reject H0 if χ2 > 30.1435. 
C)  reject H0 if χ2 > 7.81473. 
D)  reject H0 if χ2 > .341846. 
E)  reject H0 if χ2 > 32.8523.

The Wilcoxon signed ranks test is the nonparametric counterpart of the

Parametric tests,such as F and t tests,are more powerful than their nonparametric counterparts if the assumptions needed to perform the parametric test are not violated.

A sign test is a test of hypothesis about the population mean.

The signed ranks test is the nonparametric counterpart of the

In order to perform the ________________,all of the observations in p samples are combined into a single set and all of the values in the single set are ranked from smallest to largest.After ranking,the sum of the ranks for each of the p samples is calculated.

The Wilcoxon rank sum test is a nonparametric test used to compare the central tendencies of two populations when a paired difference experiment has been conducted.

Nonparametric tests can be more powerful than the corresponding t or F tests if the population distribution is highly skewed or nonnormal.

Which one of the following nonparametric methods can be used to compare more than two independent populations in a single test?

Refer to the MegaStat/Excel output for the Wilcoxon rank sum test given in the table below. At a significance level of .05,which one of the following statements is correct regarding the following null hypothesis? H₀: D₁ and D₂ are identical probability distributions.

The Wilcoxon signed ranks test is also called the Mann-Whitney test.

The Wilcoxon rank sum test is used to compare the locations of two _____________ populations.

Which one of the following nonparametric methods can be considered as an extension of the Wilcoxon rank sum test?

Assume that the following data set is not normally distributed.(21,18,4,9,14,16,17,12,15,8,7,5) If H_a: M_d > 6,then the p value is

An Introduction to Business Statistics

Descriptive Statistics: Tabular and Graphical Methods

Descriptive Statistics: Numerical Methods

Probability

Discrete Random Variables

Continuous Random Variables

Sampling and Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences for Means and Proportions

Statistical Inferences for Population Variances

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Time Series Forecasting and Index Numbers

Decision Theory

Filters

Exam 17: Nonparametric Methods

The Wilcoxon signed ranks test is the nonparametric counterpart of the

Parametric tests,such as F and t tests,are more powerful than their nonparametric counterparts if the assumptions needed to perform the parametric test are not violated.

A sign test is a test of hypothesis about the population mean.

The signed ranks test is the nonparametric counterpart of the

In order to perform the ________________,all of the observations in p samples are combined into a single set and all of the values in the single set are ranked from smallest to largest.After ranking,the sum of the ranks for each of the p samples is calculated.

The Wilcoxon rank sum test is a nonparametric test used to compare the central tendencies of two populations when a paired difference experiment has been conducted.

Nonparametric tests can be more powerful than the corresponding t or F tests if the population distribution is highly skewed or nonnormal.

Which one of the following nonparametric methods can be used to compare more than two independent populations in a single test?

Refer to the MegaStat/Excel output for the Wilcoxon rank sum test given in the table below. At a significance level of .05,which one of the following statements is correct regarding the following null hypothesis? H0: D1 and D2 are identical probability distributions.

The Wilcoxon signed ranks test is also called the Mann-Whitney test.

The Wilcoxon rank sum test is used to compare the locations of two _____________ populations.

Which one of the following nonparametric methods can be considered as an extension of the Wilcoxon rank sum test?

Assume that the following data set is not normally distributed.(21,18,4,9,14,16,17,12,15,8,7,5) If Ha: Md > 6,then the p value is

An Introduction to Business Statistics

Descriptive Statistics: Tabular and Graphical Methods

Descriptive Statistics: Numerical Methods

Probability

Discrete Random Variables

Continuous Random Variables

Sampling and Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences for Means and Proportions

Statistical Inferences for Population Variances

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Time Series Forecasting and Index Numbers

Decision Theory

Filters

Refer to the MegaStat/Excel output for the Wilcoxon rank sum test given in the table below. At a significance level of .05,which one of the following statements is correct regarding the following null hypothesis? H₀: D₁ and D₂ are identical probability distributions.

Assume that the following data set is not normally distributed.(21,18,4,9,14,16,17,12,15,8,7,5) If H_a: M_d > 6,then the p value is