Question 1

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 value of S is

Accepted Answer

A)  0. 
B)  1. 
C)  2. 
D)  3. 
E)  4. 
A)  0. 
B)  1. 
C)  2. 
D)  3. 
E)  4. C

Question 2

An owner of two cats is trying to decide if it is cheaper to order cat food over the Internet or to buy the food locally. Listed below are the prices (in dollars) quoted for two bags of cat food from various manufacturers.   What is the test statistic T?

Accepted Answer

A)  111 
B)  130 
C)  60 
D)  120 
A)  111 
B)  130 
C)  60 
D)  120 B

Question 3

A ________ can be used without assuming that the sampled population(s) has/have a particular type of probability distribution.

Accepted Answer

A)  t- test 
B)  nonparametric test 
C)  linear regression test 
D)  correlation test 
A)  t- test 
B)  nonparametric test 
C)  linear regression test 
D)  correlation test B

Question 4

The ________ is a nonparametric counterpart of a small-sample t test for comparing two independent population locations.

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 5

If you have data that consist of matched pairs collected from two dependent populations, then it may be appropriate to use the Wilcoxon signed ranks test.

Accepted Answer

A) True 
 B)False

Question 6

Five years ago, the average starting salary of a new college graduate with a major in marketing was $34,000. A random sample of 10 graduates from this year's graduating class of a local university yielded the following starting salaries in thousands of dollars: 28, 36, 25, 37, 35, 24, 38, 45, 39, 36. The local university wants to determine if the median starting salary for marketing graduates has increased in the last five years. Assume that the population of starting salaries in marketing is not normally distributed. The p value is found to be .0547. Using α = .10, can we conclude that the starting salaries increased in the last five years?

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 7

Two NFL scouts are in the process of recruiting seven college senior football players (receivers). After a careful review and evaluation, both scouts ranked the seven receivers in terms of their professional career prospects. The rankings are given below.   At α = .05, does it appear that the two scouts have similar opinions about the professional football career prospects of the seven players (positive correlation vs. no correlation)?

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 8

In order to perform the ________, all of the observations in two samples are combined into a single set and all of the values in the single set are ranked from smallest to largest.

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

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 or right 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 or right 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 or right 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 10

The ________ is a nonparametric counterpart of a one-way ANOVA F test.

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 11

A copy machine service company provides maintenance and repair service for different types and brands of copiers. The manager of the repair department wants to know if the repair time for brand A is higher than the repair time for brand B. The manager randomly selects eight repair records associated with brand A and eight repair records associated with brand B. The distribution of repair times for both brand A and brand B is highly skewed. 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 12

The Kruskal-Wallis 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 13

A local real estate agent claims that the median selling price of homes in a major midwestern city is more than $200,000. Suppose a random sample of 100 homes sold in the last six months is taken and 53 sold for over $200,000. Using α = .01, test the real estate agent's claim. What do you conclude about the selling prices of the homes?

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 14

Three years ago, a major hotel chain purchased a large number of heating and air-conditioning units from three major manufacturers, A, B, and C. The accounting department of the hotel chain kept records on their repair and replacement costs over the last three years. The manager of the purchasing department randomly selected six brand A, seven brand B, and six brand C heating and air-conditioning unit records. The repair and replacement costs in dollars are summarized in the following table. At α = .05, can we conclude that there is a significant difference in repair costs among the three brands?

Accepted Answer

A)  Reject the null hypothesis. 
B)  Fail to reject the null hypothesis. 
A)  Reject the null hypothesis. 
B)  Fail to reject the null hypothesis.

Question 15

Two NFL scouts are in the process of recruiting seven college senior football receivers. After a careful review and evaluation, both scouts ranked the seven receivers in terms of their professional career prospects. If we want to determine whether the two scouts have similar opinions about the professional football career prospects of the seven players, which one of the following nonparametric tests would we choose?

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 ________ is a nonparametric method that requires data consisting of matched pairs.

Accepted Answer

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

Question 17

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 18

A random sample of 11 third-year medical school students took a comprehensive written exam as well as a comprehensive oral exam. The scores on both exams are given below. It is established that both test scores have highly nonnormal distributions.   At α = .05, can we conclude that the oral exam scores are higher than the written exam scores?

Accepted Answer

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

Question 19

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. Kruskal-Wallis Test
  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 four 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 four populations under consideration are identical in their locations.

Question 20

A readability analysis is conducted to determine how easy four different newspapers are to read for the average citizen. The sample scores are below.   At the α = .01 level of significance, test the claim that the four newspapers have the same readability level.

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.

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 value of S is

An owner of two cats is trying to decide if it is cheaper to order cat food over the Internet or to buy the food locally. Listed below are the prices (in dollars) quoted for two bags of cat food from various manufacturers. What is the test statistic T?

A ________ can be used without assuming that the sampled population(s) has/have a particular type of probability distribution.

The ________ is a nonparametric counterpart of a small-sample t test for comparing two independent population locations.

If you have data that consist of matched pairs collected from two dependent populations, then it may be appropriate to use the Wilcoxon signed ranks test.

In order to perform the ________, all of the observations in two samples are combined into a single set and all of the values in the single set are ranked from smallest to largest.

The ________ is a nonparametric counterpart of a one-way ANOVA F test.

The Kruskal-Wallis test is the nonparametric counterpart of the

The ________ is a nonparametric method that requires data consisting of matched pairs.

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.

A readability analysis is conducted to determine how easy four different newspapers are to read for the average citizen. The sample scores are below. At the α = .01 level of significance, test the claim that the four newspapers have the same readability level.

An Introduction to Business Statistics and Analytics

Descriptive Statistics and Analytics: Tabular and Graphical Methods

Descriptive Statistics and Analytics: Numerical Methods

Probability and Probability Models

Predictive Analytics I: Trees, K-Nearest Neighbors, Naive Bayes,

Discrete Random Variables

Continuous Random Variables

Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Predictive Analytics Ii: Logistic Regression, Discriminate Analysis,

Time Series Forecasting and Index Numbers

Decision Theory

Filters

Exam 18: Nonparametric Methods

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 value of S is

An owner of two cats is trying to decide if it is cheaper to order cat food over the Internet or to buy the food locally. Listed below are the prices (in dollars) quoted for two bags of cat food from various manufacturers. What is the test statistic T?

A ________ can be used without assuming that the sampled population(s) has/have a particular type of probability distribution.

The ________ is a nonparametric counterpart of a small-sample t test for comparing two independent population locations.

If you have data that consist of matched pairs collected from two dependent populations, then it may be appropriate to use the Wilcoxon signed ranks test.

In order to perform the ________, all of the observations in two samples are combined into a single set and all of the values in the single set are ranked from smallest to largest.

The ________ is a nonparametric counterpart of a one-way ANOVA F test.

The Kruskal-Wallis test is the nonparametric counterpart of the

The ________ is a nonparametric method that requires data consisting of matched pairs.

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.

A readability analysis is conducted to determine how easy four different newspapers are to read for the average citizen. The sample scores are below. At the α = .01 level of significance, test the claim that the four newspapers have the same readability level.

An Introduction to Business Statistics and Analytics

Descriptive Statistics and Analytics: Tabular and Graphical Methods

Descriptive Statistics and Analytics: Numerical Methods

Probability and Probability Models

Predictive Analytics I: Trees, K-Nearest Neighbors, Naive Bayes,

Discrete Random Variables

Continuous Random Variables

Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Predictive Analytics Ii: Logistic Regression, Discriminate Analysis,

Time Series Forecasting and Index Numbers

Decision Theory

Filters

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 value of S is