Question 1

In a Wilcoxon rank sum test,when two or more observations are equal,we assign to each tied observation a rank equal to the _________ of the consecutive ranks.

Accepted Answer

A)  average 
B)  median 
C)  sum 
D)  difference 
A)  average 
B)  median 
C)  sum 
D)  difference A

Question 2

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: 38,36,25,37,35,24,38,45,39,36.The local university wants to determine if the starting salaries have increased in the last five years.Assume that the population of starting salaries in marketing is not normally distributed.Which one of the following 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)  Mann-Whitney test 
A)  Wilcoxon signed ranks test 
B)  Wilcoxon rank sum test 
C)  sign test 
D)  Kruskal-Wallis test 
E)  Mann-Whitney test C

Question 3

The Spearman's rank correlation test can be used to study the relationship between two ordinal variables.

Accepted Answer

A) True 
 B)False  True

Question 4

The sign test is a test about a population median that is valid for any sample size and population shape.

Accepted Answer

A) True 
 B)False

Question 5

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 6

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 7

The Kruskal-Wallis test requires that all p samples being compared must have equal sample sizes.

Accepted Answer

A) True 
 B)False

Question 8

In testing the significance of a population correlation coefficient using the Spearman's rank correlation coefficient,it is assumed that all possible combinations of values of variable X and variable Y have a bivariate normal probability distribution.

Accepted Answer

A) True 
 B)False

Question 9

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 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 that 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 that 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 not sufficient evidence to conclude that the median value of the first sample is not significantly different than 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 less than the median value of the second sample. 
A)  We reject H0 and conclude that 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 that 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 not sufficient evidence to conclude that the median value of the first sample is not significantly different than 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 less than the median value of the second sample.

Question 10

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 pharmaceutical company that manufactures the drug wants to determine if the drug is helpful in reducing cholesterol levels.The cholesterol level readings are not normally distributed.State the alternative hypothesis for this problem.

Accepted Answer

A)  The probability distribution of cholesterol readings of patients before and after the trials is identical. 
B)  The probability distribution of cholesterol readings at the end of six months has shifted to the left of the probability distribution of cholesterol readings at the beginning of the trials. 
C)  The probability distribution of cholesterol readings at the end of six months has shifted to the right of the probability distribution of cholesterol readings at the beginning of the trials. 
D)  The probability distribution of cholesterol readings of patients at the end of six months has shifted to the right or left of the probability distribution of cholesterol readings at the beginning of the trials. 
A)  The probability distribution of cholesterol readings of patients before and after the trials is identical. 
B)  The probability distribution of cholesterol readings at the end of six months has shifted to the left of the probability distribution of cholesterol readings at the beginning of the trials. 
C)  The probability distribution of cholesterol readings at the end of six months has shifted to the right of the probability distribution of cholesterol readings at the beginning of the trials. 
D)  The probability distribution of cholesterol readings of patients at the end of six months has shifted to the right or left of the probability distribution of cholesterol readings at the beginning of the trials.

Question 11

The Wilcoxon rank sum test requires that two independent samples being compared must have equal sample sizes.

Accepted Answer

A) True 
 B)False

Question 12

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.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 non parametric 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 13

The sign test is a nonparametric test for a population mean that is valid for any sample size and population shape.

Accepted Answer

A) True 
 B)False

Question 14

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 15

In a manufacturing facility producing fasteners,a foreman suspects that the diameter of the bolts produced by his second-shift workers is greater than the diameter of the bolts produced by his first-shift workers.He takes a sample of five bolts from the first shift and a sample of four bolts from the second shift and measures the diameters in inches.The population of bolt diameter measurements is not normally distributed.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 EPA has stipulated that the Pollution Standard Index (PSI)for clean air standards is to average no more than 100.A random sample of 9 days for the city of Acorn showed PSI readings of 144,85,90,120,150,105,93,130,and 115.Assume the population of PSI readings is highly nonnormal.The EPA wants to determine if there is significant evidence to conclude that Acorn's air is dirtier than the stipulated clean air standards.Which one of the following 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 17

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 < 16,then the p value is

Accepted Answer

A)  .1208. 
B)  .1937. 
C)  .0537. 
D)  .3874. 
E)  .1458. 
A)  .1208. 
B)  .1937. 
C)  .0537. 
D)  .3874. 
E)  .1458.

Question 18

Wax-com Electronics Inc.claims that a certain circuit board has a median operating life of less than 20,000 hours.A random sample of 25 such circuit boards showed 8 circuit boards failing before 20,000 hours and 17 circuit boards failing after 20,000 hours.Assume the useful life of the circuit board is not normally distributed and state the null hypothesis.

Accepted Answer

A)  H0: Md ≥ 20,000 
B)  H0: Md ≤ 20,000 
C)  H0: Md 0: Md ≠ 20,000 
A)  H0: Md ≥ 20,000 
B)  H0: Md ≤ 20,000 
C)  H0: Md 0: Md ≠ 20,000

Question 19

A parametric test is always more powerful than its nonparametric counterpart.

Accepted Answer

A) True 
 B)False

Question 20

The Wilcoxon rank sum test and the Kruskal-Wallis test both require that we take independent random samples.

Accepted Answer

A) True 
 B)False

In a Wilcoxon rank sum test,when two or more observations are equal,we assign to each tied observation a rank equal to the _________ of the consecutive ranks.

The Spearman's rank correlation test can be used to study the relationship between two ordinal variables.

The sign test is a test about a population median that is valid for any sample size and population shape.

The Kruskal-Wallis test is the nonparametric counterpart of the

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

The Kruskal-Wallis test requires that all p samples being compared must have equal sample sizes.

In testing the significance of a population correlation coefficient using the Spearman's rank correlation coefficient,it is assumed that all possible combinations of values of variable X and variable Y have a bivariate normal probability distribution.

The Wilcoxon rank sum test requires that two independent samples being compared must have equal sample sizes.

The sign test is a nonparametric test for a population mean that is valid for any sample size and population shape.

The __________________ is a nonparametric counterpart of a one-way ANOVA F 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 < 16,then the p value is

A parametric test is always more powerful than its nonparametric counterpart.

The Wilcoxon rank sum test and the Kruskal-Wallis test both require that we take independent random samples.

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

In a Wilcoxon rank sum test,when two or more observations are equal,we assign to each tied observation a rank equal to the _________ of the consecutive ranks.

The Spearman's rank correlation test can be used to study the relationship between two ordinal variables.

The sign test is a test about a population median that is valid for any sample size and population shape.

The Kruskal-Wallis test is the nonparametric counterpart of the

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

The Kruskal-Wallis test requires that all p samples being compared must have equal sample sizes.

In testing the significance of a population correlation coefficient using the Spearman's rank correlation coefficient,it is assumed that all possible combinations of values of variable X and variable Y have a bivariate normal probability distribution.

The Wilcoxon rank sum test requires that two independent samples being compared must have equal sample sizes.

The sign test is a nonparametric test for a population mean that is valid for any sample size and population shape.

The __________________ is a nonparametric counterpart of a one-way ANOVA F 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 < 16,then the p value is

A parametric test is always more powerful than its nonparametric counterpart.

The Wilcoxon rank sum test and the Kruskal-Wallis test both require that we take independent random samples.

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

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 < 16,then the p value is