Question 1

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

Question 2

The HYPERLINK "http://www.statisticssolutions.com/mann-whitney-u-test" Mann-Whitney U-test is used to test whether three or more independent HYPERLINK "http://www.experiment-resources.com/sample-group.html" samples of observations are drawn from the same or identical distributions.

Accepted Answer

A) True 
 B)False  False

Question 3

Which of the following tests might be used to compare the means of two populations if the samples are related?

Accepted Answer

A)   Mann-Whitney test
B)   Wilcoxon test
C)   Runs test
D)   Spearman's test
E)   Kruskal-Wallis test B

Question 4

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

Accepted Answer

A) True 
 B)False

Question 5

The nonparametric alternative to the one-way analysis of variance is the _______.

Accepted Answer

A)   chi-square goodness of fit test
B)   Kruskal-Wallis test
C)   Mann-Whitney U test
D)   Wilcoxon test
E)   Friedman test

Question 6

Statistical techniques based on assumptions about the population from which the sample data are selected are called parametric statistics.

Accepted Answer

A) True 
 B)False

Question 7

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

Question 8

Two stock analysts rank five investment portfolios for overall performance and risk.  The Spearman rank correlation coefficient is ___________.

Accepted Answer

A)   0.80
B)   0.20
C)   0.05
D)   0.95
E)   1.00

Question 9

Performance records for 18 salespersons are selected to investigate whether compensation methods are a significant motivational factor.  
A Kruskal-Wallis test is to be performed with $\alpha$= 0.01. The critical chi-square value is _______.

Accepted Answer

A)   15.086
B)   13.277
C)   7.779
D)   9.210
E)   8.657

Question 10

The alternative hypothesis for the Friedman test is that at least one treatment is different from at least one other treatment.

Accepted Answer

A) True 
 B)False

Question 11

The sampling distribution of R,the number of runs,in the one-sample runs test for randomness of the observations in a large sample is approximately normal if H0 is true.

Accepted Answer

A) True 
 B)False

Question 12

The nonparametric alternative to analysis of variance for a randomized block design is the Friedman test.

Accepted Answer

A) True 
 B)False

Question 13

The methods of parametric statistics require ________________.

Accepted Answer

A)   interval or ratio data
B)   nominal or ordinal data
C)   large samples
D)   small samples
E)   qualitative data

Question 14

A perfect Spearman correlation of +1 or −1 between two variables indicates

Accepted Answer

A)   a perfect linear relationship between the two variables
B)   a perfect monotone function of the two variables.
C)   the Pearson correlation is 1
D)   the Pearson correlation is +1 or -1
E)   the two variables are not related.

Question 15

The appropriate test for comparing the means of two populations using ordinal-level data from two related samples is the Wilcoxon test and not the Mann-Whitney U test.

Accepted Answer

A) True 
 B)False

Question 16

A quality control supervisor wishes to determine whether the following measurements are random:  For this purpose,the supervisor computes the median of the thirty observations above and compares each measurement to the median to perform a runs test.She uses a significance level of 0.05.The appropriate decision is ______.

Accepted Answer

A)   reject the null hypothesis and conclude that the observations are random
B)   reject the null hypothesis and conclude that the observations are not random
C)   do not reject the null hypothesis and conclude that the observations are random
D)   do not reject the null hypothesis and conclude that the observations are not random
E)   do nothing

Question 17

Nonparametric statistics are sometimes called _______________.

Accepted Answer

A)   nominal statistics
B)   interval statistics
C)   distribution-dependent statistics
D)   distribution-free statistics
E)   qualitative statistics

Question 18

A local pediatrician office is interested in the 'no-show' appointment count for each of the 4 pediatricians.'No-show' appointments represent lost revenues because the physician will be
Idle when patients do not show for their scheduled appointments.Using the data in the table
Below and an alpha of .10,what is the appropriate decision?

Accepted Answer

A)   Reject the null hypothesis and conclude at least one physician differs in the no-show rates.
B)   Reject the null hypothesis and conclude the no show rates differ by day of week
C)   Fail to reject the null hypothesis and conclude there is not enough evidence to demonstrate the no show rate between physician is equal
D)   Fail to reject the null hypothesis and conclude there is not enough evidence to show the no show rate between days of the week is equal
E)   Reject the null hypothesis and conclude the no show rates are dependent upon both day of week and physician.

Question 19

The null hypothesis in the Kruskal-Wallis test is _______.

Accepted Answer

A)   all populations are identical
B)   all sample means are different
C)   x and y are not correlated
D)   the mean difference is zero
E)   all populations are not identical

Question 20

The methods of parametric statistics can be applied to nominal or ordinal data.

Accepted Answer

A) True 
 B)False

Exam 17: Nonparametric Statistics

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?

The HYPERLINK "http://www.statisticssolutions.com/mann-whitney-u-test" Mann-Whitney U-test is used to test whether three or more independent HYPERLINK "http://www.experiment-resources.com/sample-group.html" samples of observations are drawn from the same or identical distributions.

Which of the following tests might be used to compare the means of two populations if the samples are related?

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

The nonparametric alternative to the one-way analysis of variance is the _______.

Statistical techniques based on assumptions about the population from which the sample data are selected are called parametric statistics.

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 ________.

Two stock analysts rank five investment portfolios for overall performance and risk. The Spearman rank correlation coefficient is ___________.

The alternative hypothesis for the Friedman test is that at least one treatment is different from at least one other treatment.

The sampling distribution of R,the number of runs,in the one-sample runs test for randomness of the observations in a large sample is approximately normal if H₀ is true.

The nonparametric alternative to analysis of variance for a randomized block design is the Friedman test.

The methods of parametric statistics require ________________.

A perfect Spearman correlation of +1 or −1 between two variables indicates

The appropriate test for comparing the means of two populations using ordinal-level data from two related samples is the Wilcoxon test and not the Mann-Whitney U test.

Nonparametric statistics are sometimes called _______________.

The null hypothesis in the Kruskal-Wallis test is _______.

The methods of parametric statistics can be applied to nominal or ordinal data.

Exam 17: Nonparametric Statistics

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?

The HYPERLINK "http://www.statisticssolutions.com/mann-whitney-u-test" Mann-Whitney U-test is used to test whether three or more independent HYPERLINK "http://www.experiment-resources.com/sample-group.html" samples of observations are drawn from the same or identical distributions.

Which of the following tests might be used to compare the means of two populations if the samples are related?

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

The nonparametric alternative to the one-way analysis of variance is the _______.

Statistical techniques based on assumptions about the population from which the sample data are selected are called parametric statistics.

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 ________.

Two stock analysts rank five investment portfolios for overall performance and risk. The Spearman rank correlation coefficient is ___________.

Performance records for 18 salespersons are selected to investigate whether compensation methods are a significant motivational factor. A Kruskal-Wallis test is to be performed with α\alphaα = 0.01. The critical chi-square value is _______.

The alternative hypothesis for the Friedman test is that at least one treatment is different from at least one other treatment.

The sampling distribution of R,the number of runs,in the one-sample runs test for randomness of the observations in a large sample is approximately normal if H0 is true.

The nonparametric alternative to analysis of variance for a randomized block design is the Friedman test.

The methods of parametric statistics require ________________.

A perfect Spearman correlation of +1 or −1 between two variables indicates

The appropriate test for comparing the means of two populations using ordinal-level data from two related samples is the Wilcoxon test and not the Mann-Whitney U test.

Nonparametric statistics are sometimes called _______________.

The null hypothesis in the Kruskal-Wallis test is _______.

The methods of parametric statistics can be applied to nominal or ordinal data.

The sampling distribution of R,the number of runs,in the one-sample runs test for randomness of the observations in a large sample is approximately normal if H₀ is true.