Question 1

If you are interested in testing whether the median of a population is equal to a specific value,an appropriate test to use is:

Accepted Answer

A) the Mann-Whitney U test. 
B) the t-test. 
C) the Wilcoxon signed rank test. 
D) the Wilcoxon Matched-Pairs Signed Rank test.

Question 2

The following null and alternative hypotheses are appropriate when using a Wilcoxon signed rank test.
H0 : Population Median equals 14.5
HA : Population Median is not equal to 14.5

Accepted Answer

A) True 
 B)False

Question 3

When employing a small sample Mann-Whitney U test for a two-tailed test,which of the following is true?

Accepted Answer

A) The sample sizes need to be equal. 
B) Select as the test statistic the smaller of the two U values. 
C) Select either of the U values to be the test statistic. 
D) The alpha level should be doubled.

Question 4

Which of the following is not an assumption of the Kruskal-Wallis one-way analysis of variance?

Accepted Answer

A) Variables have a continuous distribution. 
B) Samples are independent. 
C) Sample sizes are equal for all populations. 
D) Population distributions are identical except for possible differences in center.

Question 5

Which of the following is not an assumption of the Mann-Whitney U test?

Accepted Answer

A) The sample sizes are equal. 
B) The samples are independent. 
C) The value measured is continuous. 
D) The population distributions are the same for shape and spread.

Question 6

If a decision maker wishes to test whether four independent populations have the same center and is unwilling to make the assumption that the populations are normally distributed with equal variances,she can use the Kruskal-Wallis test.

Accepted Answer

A) True 
 B)False

Question 7

Recently,Major League Baseball officials stated that the median cost for a family of four to attend a baseball game including,parking,tickets,food,and drinks did not exceed $125.00.The following sample data were collected:
  Assuming that the test of the owners' claim is going to be conducted using an alpha = .05 level,the null hypothesis that the median cost does not exceed $125 should not be rejected.

Accepted Answer

A) True 
 B)False

Question 8

A claim was recently made that stated that the median income for male and female graduates is the same for those graduating with a degree in operations management.The following sample data were collected:
  In employing the Mann-Whitney U test,the U test statistic is 25.5

Accepted Answer

A) True 
 B)False

Question 9

Consider the situation in which a study was recently conducted to determine whether the median price of houses is the same in Seattle and Phoenix.The following data were collected.  Given these data,if a Mann-Whitney U test is to be used,the test statistic is:

Accepted Answer

A) 22 
B) 14 
C) approximately 1.96 
D) 34

Question 10

The Kruskal-Wallis test is used to test whether the centers of 3 or more populations are equal so long as that is the only possible difference between the population distributions.

Accepted Answer

A) True 
 B)False

Question 11

A recent study was conducted to determine if any of three suppliers of electronic components has a different median delivery time on special orders.To test this,five orders were given to each supplier and the delivery days were recorded.These data are shown as follows:
  If a Kruskal-Wallis test is to be performed,the number of degrees of freedom for determining the critical value is 2.

Accepted Answer

A) True 
 B)False

Question 12

The General Electric service department believes that the median time for a service call should be 30 or fewer minutes.To test this,the following random sample of service times was collected:  Given that the managers do not wish to make the assumption that the population is normally distributed,the appropriate statistical test for testing about service times is:

Accepted Answer

A) the t-test. 
B) the Kruskal-Wallis test. 
C) the Wilcoxon signed rank sum test. 
D) the F-test.

Question 13

In a large sample test about a single population median,it is appropriate to employ the standard normal distribution so long as the population is also normally distributed.

Accepted Answer

A) True 
 B)False

Question 14

The Mann-Whitney U test assumes that the 2 samples are:

Accepted Answer

A) equal in size. 
B) independent and random. 
C) matched or paired. 
D) normally distributed.

Question 15

A recent study was conducted to determine if any of three suppliers of electronic components has a different median delivery time on special orders.To test this,five orders were given to each supplier and the delivery days were recorded.These data are shown as follows:
  If a Kruskal-Wallis test is to be performed,the sum of the rankings for Supplier 1 is 45.

Accepted Answer

A) True 
 B)False

Question 16

Kruskal-Wallis One-Way Analysis of Variance is the nonparametric counterpart to the one-way ANOVA procedure in which the assumptions of normally distributed populations with equal variances are satisfied.

Accepted Answer

A) True 
 B)False

Question 17

Assume that a Kruskal-Wallis test is being conducted to determine whether or not the medians of three populations are equal.The sum of rankings and the sample size for each group are below.
  The value of the test statistic is H = 0.68

Accepted Answer

A) True 
 B)False

Question 18

A survey was recently conducted in which random samples of car owners of Chrysler,GM,and Ford cars were surveyed to determine their satisfaction.Each owner was asked to rate overall satisfaction on a scale of 1 (poor)to 1000 (excellent).The following data were recorded:  If the analysts are not willing to assume that the population ratings are normally distributed and will use the Kruskal-Wallis test to determine if the three companies have different median ratings,what is the appropriate critical value if the test is to be conducted using an alpha = .05 level?

Accepted Answer

A) = 5.05 
B) χ2 = 5.99 
C) χ2 = 24.99 
D) = 3.67

Question 19

Managers for a company that produces a weight loss product claim that the median weight lost over six weeks for people who use this product will be at least 20 pounds.The following data were collected from a sample of nine people who used the product.
  In order to test the manager's claim,they will need to assume that the population is normally distributed.

Accepted Answer

A) True 
 B)False

Question 20

The Mann-Whitney U test is always a one-tailed test.

Accepted Answer

A) True 
 B)False

Exam 17: Introduction to Nonparametric Statistics

If you are interested in testing whether the median of a population is equal to a specific value,an appropriate test to use is:

The following null and alternative hypotheses are appropriate when using a Wilcoxon signed rank test. H₀: Population Median equals 14.5 H_A_:Population Median is not equal to 14.5

When employing a small sample Mann-Whitney U test for a two-tailed test,which of the following is true?

Which of the following is not an assumption of the Kruskal-Wallis one-way analysis of variance?

Which of the following is not an assumption of the Mann-Whitney U test?

If a decision maker wishes to test whether four independent populations have the same center and is unwilling to make the assumption that the populations are normally distributed with equal variances,she can use the Kruskal-Wallis test.

A claim was recently made that stated that the median income for male and female graduates is the same for those graduating with a degree in operations management.The following sample data were collected: In employing the Mann-Whitney U test,the U test statistic is 25.5

Consider the situation in which a study was recently conducted to determine whether the median price of houses is the same in Seattle and Phoenix.The following data were collected. Given these data,if a Mann-Whitney U test is to be used,the test statistic is:

The Kruskal-Wallis test is used to test whether the centers of 3 or more populations are equal so long as that is the only possible difference between the population distributions.

In a large sample test about a single population median,it is appropriate to employ the standard normal distribution so long as the population is also normally distributed.

The Mann-Whitney U test assumes that the 2 samples are:

Kruskal-Wallis One-Way Analysis of Variance is the nonparametric counterpart to the one-way ANOVA procedure in which the assumptions of normally distributed populations with equal variances are satisfied.

Assume that a Kruskal-Wallis test is being conducted to determine whether or not the medians of three populations are equal.The sum of rankings and the sample size for each group are below. The value of the test statistic is H = 0.68

The Mann-Whitney U test is always a one-tailed test.

Exam 17: Introduction to Nonparametric Statistics

If you are interested in testing whether the median of a population is equal to a specific value,an appropriate test to use is:

The following null and alternative hypotheses are appropriate when using a Wilcoxon signed rank test. H0 : Population Median equals 14.5 HA : Population Median is not equal to 14.5

When employing a small sample Mann-Whitney U test for a two-tailed test,which of the following is true?

Which of the following is not an assumption of the Kruskal-Wallis one-way analysis of variance?

Which of the following is not an assumption of the Mann-Whitney U test?

If a decision maker wishes to test whether four independent populations have the same center and is unwilling to make the assumption that the populations are normally distributed with equal variances,she can use the Kruskal-Wallis test.

A claim was recently made that stated that the median income for male and female graduates is the same for those graduating with a degree in operations management.The following sample data were collected: In employing the Mann-Whitney U test,the U test statistic is 25.5

Consider the situation in which a study was recently conducted to determine whether the median price of houses is the same in Seattle and Phoenix.The following data were collected. Given these data,if a Mann-Whitney U test is to be used,the test statistic is:

The Kruskal-Wallis test is used to test whether the centers of 3 or more populations are equal so long as that is the only possible difference between the population distributions.

In a large sample test about a single population median,it is appropriate to employ the standard normal distribution so long as the population is also normally distributed.

The Mann-Whitney U test assumes that the 2 samples are:

Kruskal-Wallis One-Way Analysis of Variance is the nonparametric counterpart to the one-way ANOVA procedure in which the assumptions of normally distributed populations with equal variances are satisfied.

Assume that a Kruskal-Wallis test is being conducted to determine whether or not the medians of three populations are equal.The sum of rankings and the sample size for each group are below. The value of the test statistic is H = 0.68

The Mann-Whitney U test is always a one-tailed test.

The following null and alternative hypotheses are appropriate when using a Wilcoxon signed rank test. H₀: Population Median equals 14.5 H_A_:Population Median is not equal to 14.5