Question 1

Which one of the following nonparametric methods requires that we carry out a paired difference experiment?

Accepted Answer

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

Question 2

Which of the following statements about nonparametric methods is correct?

Accepted Answer

A)  Nonparametric tests are only used in cases where parametric tests such as t or F do not exist. 
B)  Nonparametric tests should always be used when one is available,because they are easier to apply then their parametric counterparts. 
C)  Nonparametric tests are useful alternatives to parametric tests such as t or F when certain assumptions required by parametric tests are violated. 
D)  Nonparametric tests are only used if the data come from independent samples. 
A)  Nonparametric tests are only used in cases where parametric tests such as t or F do not exist. 
B)  Nonparametric tests should always be used when one is available,because they are easier to apply then their parametric counterparts. 
C)  Nonparametric tests are useful alternatives to parametric tests such as t or F when certain assumptions required by parametric tests are violated. 
D)  Nonparametric tests are only used if the data come from independent samples.

Question 3

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,state the null hypothesis.

Accepted Answer

A)  H0: ρs ≠ 0 
B)  H0: ρs ≥ 0 
C)  H0: ρs ≤ 0 
D)  H0: ρs = 0 
A)  H0: ρs ≠ 0 
B)  H0: ρs ≥ 0 
C)  H0: ρs ≤ 0 
D)  H0: ρs = 0

Question 4

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 5

An assumption of the Wilcoxon rank sum test is that the variances of the two populations are equal.

Accepted Answer

A) True 
 B)False

Question 6

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

Question 7

Which one of the following nonparametric methods can be used to determine the strength of the relationship between two variables?

Accepted Answer

A)  Wilcoxon signed ranks test 
B)  sign test 
C)  Kruskal-Wallis test 
D)  Wilcoxon rank sum test 
E)  Spearman's test 
A)  Wilcoxon signed ranks test 
B)  sign test 
C)  Kruskal-Wallis test 
D)  Wilcoxon rank sum test 
E)  Spearman's test

Question 8

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 ≠ 7,then the p value is

Accepted Answer

A)  .0161. 
B)  .0029. 
C)  .1458. 
D)  .0729. 
E)  .0537. 
A)  .0161. 
B)  .0029. 
C)  .1458. 
D)  .0729. 
E)  .0537.

Question 9

Which one of the following nonparametric methods can be used with a single population?

Accepted Answer

A)  Spearman's test 
B)  sign test 
C)  Kruskal-Wallis test 
D)  Wilcoxon rank sum test 
A)  Spearman's test 
B)  sign test 
C)  Kruskal-Wallis test 
D)  Wilcoxon rank sum test

Question 10

The Wilcoxon signed ranks test is a nonparametric test.

Accepted Answer

A) True 
 B)False

Question 11

A cholesterol test was given to 10 heart patients with high cholesterol levels.The same 10 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 manufacturing the medicine wants to know if the drug is effective in reducing the cholesterol levels of the patients.The cholesterol levels before and after taking the drug are recorded for each patient.The population of cholesterol levels 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 12

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 13

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 14

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)  Reject H0 if T ≥ 83. 
B)  Reject H0 if T ≤ 127. 
C)  Reject H0 if T ≥ 131. 
D)  Reject H0 if T ≤ 83. 
E)  Reject H0 if T ≤ 79. 
A)  Reject H0 if T ≥ 83. 
B)  Reject H0 if T ≤ 127. 
C)  Reject H0 if T ≥ 131. 
D)  Reject H0 if T ≤ 83. 
E)  Reject H0 if T ≤ 79.

Question 15

The Kruskal-Wallis H statistic can be approximated by the _____________ distribution.

Accepted Answer

A)  normal 
B)  chi-square 
C)  z 
D)  t 
A)  normal 
B)  chi-square 
C)  z 
D)  t

Question 16

An e-business/e-commerce information technology consulting company wants to compare the effectiveness of three programming languages that its programmers use.Currently each programming language is used by approximately 1/3 of the company's programmers.The director of the programming division randomly selected 5 programmers from the users of each of the three programming languages and assigned the same simple programming task to each programmer.All three populations have highly skewed distributions with extreme outliers.The rank sum values for each of the programming groups are T1 = 23,T2 = 48,and T3 = 49.At α = .05,does the median time required to program a simple task differ between the three different programming languages?

Accepted Answer

A)  H = 4.34,reject the null hypothesis. 
B)  H = 4.34,do not reject the null hypothesis. 
C)  H = 5.99,reject the null hypothesis. 
D)  H = 5.99,do not reject the null hypothesis. 
A)  H = 4.34,reject the null hypothesis. 
B)  H = 4.34,do not reject the null hypothesis. 
C)  H = 5.99,reject the null hypothesis. 
D)  H = 5.99,do not reject the null hypothesis.

Question 17

Parametric methods are ____________ more powerful than their nonparametric counterparts.

Accepted Answer

A)  always 
B)  sometimes 
C)  never 
A)  always 
B)  sometimes 
C)  never

Question 18

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 following null hypothesis? H0: D1 and D2 are identical probability distributions.

Accepted Answer

A)  Reject H0 if T ≥ 79 or T ≤ 131. 
B)  Reject H0 if T ≥ 131 or T ≤ 83. 
C)  Reject H0 if T ≥ 131 or T ≤ 79. 
D)  Reject H0 if T ≤ 83 or T ≥ 127. 
E)  Reject H0 if T ≤ 79 or T ≥ 127. 
A)  Reject H0 if T ≥ 79 or T ≤ 131. 
B)  Reject H0 if T ≥ 131 or T ≤ 83. 
C)  Reject H0 if T ≥ 131 or T ≤ 79. 
D)  Reject H0 if T ≤ 83 or T ≥ 127. 
E)  Reject H0 if T ≤ 79 or T ≥ 127.

Question 19

When a large sample is taken,the _______________ approximation to the binomial distribution can be used to implement the sign test.

Accepted Answer

A)  chi-square 
B)  normal 
C)  correlation coefficient 
D)  rank sum 
A)  chi-square 
B)  normal 
C)  correlation coefficient 
D)  rank sum

Question 20

The Wilcoxon rank sum 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)  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)  F test. 
D)  paired-difference t test. 
E)  F test for equality of population variances.

Which one of the following nonparametric methods requires that we carry out a paired difference experiment?

Which of the following statements about nonparametric methods is correct?

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.

An assumption of the Wilcoxon rank sum test is that the variances of the two populations are equal.

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

Which one of the following nonparametric methods can be used to determine the strength of the relationship between two variables?

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 ≠ 7,then the p value is

Which one of the following nonparametric methods can be used with a single population?

The Wilcoxon signed ranks test is a nonparametric 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 small-sample t test for comparing two independent population locations.

The Kruskal-Wallis H statistic can be approximated by the _____________ distribution.

Parametric methods are ____________ more powerful than their nonparametric counterparts.

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 following null hypothesis? H₀: D₁ and D₂ are identical probability distributions.

When a large sample is taken,the _______________ approximation to the binomial distribution can be used to implement the sign test.

The Wilcoxon rank sum test is the nonparametric counterpart of the

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

Which one of the following nonparametric methods requires that we carry out a paired difference experiment?

Which of the following statements about nonparametric methods is correct?

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.

An assumption of the Wilcoxon rank sum test is that the variances of the two populations are equal.

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

Which one of the following nonparametric methods can be used to determine the strength of the relationship between two variables?

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 ≠ 7,then the p value is

Which one of the following nonparametric methods can be used with a single population?

The Wilcoxon signed ranks test is a nonparametric 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 small-sample t test for comparing two independent population locations.

The Kruskal-Wallis H statistic can be approximated by the _____________ distribution.

Parametric methods are ____________ more powerful than their nonparametric counterparts.

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 following null hypothesis? H0: D1 and D2 are identical probability distributions.

When a large sample is taken,the _______________ approximation to the binomial distribution can be used to implement the sign test.

The Wilcoxon rank sum test is the nonparametric counterpart of the

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 ≠ 7,then the p value is

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 following null hypothesis? H₀: D₁ and D₂ are identical probability distributions.