Question 1

In a Mann-Whitney U test,the U statistic was calculated to be 58.0 based on sample sizes of 22 and 28.What is the z value for this test?

Accepted Answer

A) 51.17 
B) 308 
C) 0.117 
D) -4.88 
E) -2.44 
A) 51.17 
B) 308 
C) 0.117 
D) -4.88 
E) -2.44 D

Question 2

Use both the small-sample and large-sample cases of the Mann-Whitney U test to determine if there is a difference in two independent populations.

Accepted Answer

The Mann-Whitney U test is a nonparametric version of the t test of the means from two independent samples.When the assumption of normally distributed data cannot be met or if the data are only ordinal in level of measurement,the Mann-Whitney U test can be used in place of the t test.The Mann-Whitney U test-like many nonparametric tests-works with the ranks of data rather than the raw data.

Question 3

A Kruskal-Wallis test is to be performed.There will be four categories,and alpha is chosen to be 0.10.The critical chi-square value is ___.

Accepted Answer

A) 6.251 
B) 2.706 
C) 7.779 
D) 4.605 
E) 3.234 
A) 6.251 
B) 2.706 
C) 7.779 
D) 4.605 
E) 3.234 A

Question 4

To compare the means of two populations which cannot be assumed to be normally distributed and only ordinal-level data is available from two independent samples,instead of the t test for independent samples we should use the Mann-Whitney U test.

Accepted Answer

A) True 
 B)False

Question 5

The nonparametric counterpart of the t test to compare the means of two related samples is the Mann-Whitney U test.

Accepted Answer

A) True 
 B)False

Question 6

Performance records for 18 salespersons are selected to investigate whether compensation methods are a significant motivational factor.   
A Kruskal-Wallis test performed with $\alpha$= 0.01 will result in a decision to ___.

Accepted Answer

A) reject the null hypothesis 
B) reject the alternate hypothesis 
C) not reject the null hypothesis 
D) not reject the alternate hypothesis 
E) do nothing 
A) reject the null hypothesis 
B) reject the alternate hypothesis 
C) not reject the null hypothesis 
D) not reject the alternate hypothesis 
E) do nothing

Question 7

In the Wilcoxon test of the differences between two populations,the value z statistic was calculated to be 1.80.If the level of significance is 0.10,which of the following decisions is appropriate?

Accepted Answer

A) Reject the null hypothesis. 
B) Do not reject the null hypothesis. 
C) indeterminate without the sample size 
D) indeterminate without all of the data 
E) inconclusive 
A) Reject the null hypothesis. 
B) Do not reject the null hypothesis. 
C) indeterminate without the sample size 
D) indeterminate without all of the data 
E) inconclusive

Question 8

An advantage of nonparametric statistics is that some nonparametric tests can be used to analyze situations in which data is available at only the nominal or the ordinal level.

Accepted Answer

A) True 
 B)False

Question 9

The alternate hypothesis for a one-sample runs test is ___.

Accepted Answer

A) "the observations in the sample are not cross-linked" 
B) "the observations in the sample are correlated" 
C) "the observations in the sample are not statistically independent" 
D) "the observations in the sample are not randomly generated" 
E) "the observations are not systematically generated" 
A) "the observations in the sample are not cross-linked" 
B) "the observations in the sample are correlated" 
C) "the observations in the sample are not statistically independent" 
D) "the observations in the sample are not randomly generated" 
E) "the observations are not systematically generated"

Question 10

Correlation coefficients may be computed for parametric and nonparametric data.If the data are nonparametric,which of the following should be used?

Accepted Answer

A) Pearson correlation coefficient 
B) Spearman correlation coefficient 
C) Gaussian correlation coefficient 
D) De Moivre correlation coefficient 
E) Gossett correlation coefficient 
A) Pearson correlation coefficient 
B) Spearman correlation coefficient 
C) Gaussian correlation coefficient 
D) De Moivre correlation coefficient 
E) Gossett correlation coefficient

Question 11

Use both the small-sample and large-sample cases of the Wilcoxon matched-pairs signed rank test to compare the differences in two related samples.

Accepted Answer

The Wilcoxon matched-pairs signed rank t

Question 12

The Spearman correlation coefficient is calculated for a set of data on two variables,x and y.It appears that as the rank of x increases,the rank of y is decreasing.We would expect the Spearman correlation coefficient to be ___.

Accepted Answer

A) equal to zero 
B) positive 
C) negative 
D) greater than 5 
E) greater than 1 
A) equal to zero 
B) positive 
C) negative 
D) greater than 5 
E) greater than 1

Question 13

In a Mann-Whitney U test,U statistic was calculated to be 38.78 based on sample sizes of 24 and 20.What is the z value for this test?

Accepted Answer

A) 0.133 
B) -4.74 
C) 240 
D) 42.43 
E) 8.75 
A) 0.133 
B) -4.74 
C) 240 
D) 42.43 
E) 8.75

Question 14

When using the Friedman test to test the following data to determine whether there is a significant difference between treatment levels,the ranks for block 2 are ___.

Accepted Answer

A) 2,3,4,1 
B) 1,2,3,4 
C) 4,1,2,3 
D) 4,2,3,1 
E) 3,4,1,2 
A) 2,3,4,1 
B) 1,2,3,4 
C) 4,1,2,3 
D) 4,2,3,1 
E) 3,4,1,2

Question 15

What is the Spearman rank correlation coefficient for the following set of data?

Accepted Answer

A) -0.20 
B) 1.00 
C) 0.20 
D) 0.80 
E) -1.20 
A) -0.20 
B) 1.00 
C) 0.20 
D) 0.80 
E) -1.20

Question 16

In a Wilcoxon matched-pairs signed rank test with 20 matched-pairs of observations,the observed value of the T statistic based on sample data is 76.33.The corresponding observed z value is ___.

Accepted Answer

A) −1.79 
B) −2.07 
C) −1.70 
D) −1.59 
E) −1.07 
A) −1.79 
B) −2.07 
C) −1.70 
D) −1.59 
E) −1.07

Question 17

The Kruskal-Wallis test is to be used to determine whether there is a significant difference (alpha = 0.05)between the three groups using the following data:   For this situation,the critical (table)chi-square value is ___.

Accepted Answer

A) 15.507 
B) 7.815 
C) 9.488 
D) 5.992 
E) 3.991 
A) 15.507 
B) 7.815 
C) 9.488 
D) 5.992 
E) 3.991

Question 18

In the one-sample runs test for randomness of the observations in a large sample the sampling distribution of R,the number of runs,is approximately binomial.

Accepted Answer

A) True 
 B)False

Question 19

Statistical techniques based on fewer assumptions about the population and the parameters are called ___.

Accepted Answer

A) population statistics 
B) parametric statistics 
C) nonparametric statistics 
D) chi-square statistics 
E) correlation statistics 
A) population statistics 
B) parametric statistics 
C) nonparametric statistics 
D) chi-square statistics 
E) correlation statistics

Question 20

Use both the small-sample and large-sample runs tests to determine whether the order of observations in a sample is random.

Accepted Answer

The runs test is a nonparametric test of

In a Mann-Whitney U test,the U statistic was calculated to be 58.0 based on sample sizes of 22 and 28.What is the z value for this test?

Use both the small-sample and large-sample cases of the Mann-Whitney U test to determine if there is a difference in two independent populations.

A Kruskal-Wallis test is to be performed.There will be four categories,and alpha is chosen to be 0.10.The critical chi-square value is ___.

To compare the means of two populations which cannot be assumed to be normally distributed and only ordinal-level data is available from two independent samples,instead of the t test for independent samples we should use the Mann-Whitney U test.

The nonparametric counterpart of the t test to compare the means of two related samples is the Mann-Whitney U test.

In the Wilcoxon test of the differences between two populations,the value z statistic was calculated to be 1.80.If the level of significance is 0.10,which of the following decisions is appropriate?

An advantage of nonparametric statistics is that some nonparametric tests can be used to analyze situations in which data is available at only the nominal or the ordinal level.

The alternate hypothesis for a one-sample runs test is ___.

Correlation coefficients may be computed for parametric and nonparametric data.If the data are nonparametric,which of the following should be used?

Use both the small-sample and large-sample cases of the Wilcoxon matched-pairs signed rank test to compare the differences in two related samples.

The Spearman correlation coefficient is calculated for a set of data on two variables,x and y.It appears that as the rank of x increases,the rank of y is decreasing.We would expect the Spearman correlation coefficient to be ___.

In a Mann-Whitney U test,U statistic was calculated to be 38.78 based on sample sizes of 24 and 20.What is the z value for this test?

When using the Friedman test to test the following data to determine whether there is a significant difference between treatment levels,the ranks for block 2 are ___.

What is the Spearman rank correlation coefficient for the following set of data?

In a Wilcoxon matched-pairs signed rank test with 20 matched-pairs of observations,the observed value of the T statistic based on sample data is 76.33.The corresponding observed z value is ___.

The Kruskal-Wallis test is to be used to determine whether there is a significant difference (alpha = 0.05)between the three groups using the following data: For this situation,the critical (table)chi-square value is ___.

In the one-sample runs test for randomness of the observations in a large sample the sampling distribution of R,the number of runs,is approximately binomial.

Statistical techniques based on fewer assumptions about the population and the parameters are called ___.

Use both the small-sample and large-sample runs tests to determine whether the order of observations in a sample is random.

Introduction to Statistics

Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

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Exam 17: Nonparametric Statistics

In a Mann-Whitney U test,the U statistic was calculated to be 58.0 based on sample sizes of 22 and 28.What is the z value for this test?

Use both the small-sample and large-sample cases of the Mann-Whitney U test to determine if there is a difference in two independent populations.

A Kruskal-Wallis test is to be performed.There will be four categories,and alpha is chosen to be 0.10.The critical chi-square value is ___.

To compare the means of two populations which cannot be assumed to be normally distributed and only ordinal-level data is available from two independent samples,instead of the t test for independent samples we should use the Mann-Whitney U test.

The nonparametric counterpart of the t test to compare the means of two related samples is the Mann-Whitney U test.

Performance records for 18 salespersons are selected to investigate whether compensation methods are a significant motivational factor. A Kruskal-Wallis test performed with α\alphaα = 0.01 will result in a decision to ___.

In the Wilcoxon test of the differences between two populations,the value z statistic was calculated to be 1.80.If the level of significance is 0.10,which of the following decisions is appropriate?

An advantage of nonparametric statistics is that some nonparametric tests can be used to analyze situations in which data is available at only the nominal or the ordinal level.

The alternate hypothesis for a one-sample runs test is ___.

Correlation coefficients may be computed for parametric and nonparametric data.If the data are nonparametric,which of the following should be used?

Use both the small-sample and large-sample cases of the Wilcoxon matched-pairs signed rank test to compare the differences in two related samples.

The Spearman correlation coefficient is calculated for a set of data on two variables,x and y.It appears that as the rank of x increases,the rank of y is decreasing.We would expect the Spearman correlation coefficient to be ___.

In a Mann-Whitney U test,U statistic was calculated to be 38.78 based on sample sizes of 24 and 20.What is the z value for this test?

When using the Friedman test to test the following data to determine whether there is a significant difference between treatment levels,the ranks for block 2 are ___.

What is the Spearman rank correlation coefficient for the following set of data?

In a Wilcoxon matched-pairs signed rank test with 20 matched-pairs of observations,the observed value of the T statistic based on sample data is 76.33.The corresponding observed z value is ___.

The Kruskal-Wallis test is to be used to determine whether there is a significant difference (alpha = 0.05)between the three groups using the following data: For this situation,the critical (table)chi-square value is ___.

In the one-sample runs test for randomness of the observations in a large sample the sampling distribution of R,the number of runs,is approximately binomial.

Statistical techniques based on fewer assumptions about the population and the parameters are called ___.

Use both the small-sample and large-sample runs tests to determine whether the order of observations in a sample is random.

Introduction to Statistics

Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Statistical Quality Control

Decision Analysis

Filters