Question 1

To test the hypothesis,the Wilcoxon signed-rank test uses a ________.

Accepted Answer

A) z-statistic 
B) T-test statistic 
C) chi-square statistic 
D) student's t-statistic 
A) z-statistic 
B) T-test statistic 
C) chi-square statistic 
D) student's t-statistic

Question 2

In the Kruskal-Wallis test for the following data,what are the degrees of freedom?

Accepted Answer

A) 5 
B) 2 
C) 16 
D) 15 
A) 5 
B) 2 
C) 16 
D) 15

Question 3

The decision rule for a small sample sign test is based on a(n)________.

Accepted Answer

A) binomial distribution 
B) chi-square distribution 
C) normal distribution 
D) F-distribution 
A) binomial distribution 
B) chi-square distribution 
C) normal distribution 
D) F-distribution

Question 4

In the Wilcoxon signed-rank test,the ranks are ________.

Accepted Answer

A) assigned to paired observation with a difference of zero 
B) assigned for each sample 
C) assigned the sign (either positive or negative)of the difference between a pair of observations 
D) all positive in sign 
A) assigned to paired observation with a difference of zero 
B) assigned for each sample 
C) assigned the sign (either positive or negative)of the difference between a pair of observations 
D) all positive in sign

Question 5

The test statistic for the null hypothesis that the correlation among the ranks is equal to zero is a chi-square statistic.

Accepted Answer

A) True 
 B)False

Question 6

Which statement is true when using the sign test and a large sample?

Accepted Answer

A) The chi-square value is applied to arrive at the degrees of freedom. 
B) A normal distribution should be used to approximate a binomial distribution. 
C) Wilcoxon z is the test statistic. 
D) The F distribution is applied. 
A) The chi-square value is applied to arrive at the degrees of freedom. 
B) A normal distribution should be used to approximate a binomial distribution. 
C) Wilcoxon z is the test statistic. 
D) The F distribution is applied.

Question 7

Which of the following tests would not be an example of a nonparametric method?

Accepted Answer

A) Sign test 
B) t-test 
C) Kruskal-Wallis test 
D) Wilcoxon signed-rank test 
A) Sign test 
B) t-test 
C) Kruskal-Wallis test 
D) Wilcoxon signed-rank test

Question 8

Which of the following statements is true regarding the sign test?

Accepted Answer

A) It is based on the sign of the differences. 
B) It is used with independent populations. 
C) The chi-square is used as the test statistic. 
D) The "T" statistic is the test statistic. 
A) It is based on the sign of the differences. 
B) It is used with independent populations. 
C) The chi-square is used as the test statistic. 
D) The "T" statistic is the test statistic.

Question 9

The Kruskal-Wallis one-way analysis of variance by ranks is especially appropriate to test whether three or more population means are equal if the data are measured with an ordinal scale and/or the populations are not normal.

Accepted Answer

A) True 
 B)False

Question 10

For the coefficient of rank correlation,what scale is used to measure the data?

Accepted Answer

A) Nominal 
B) Ordinal 
C) Interval 
D) Ratio 
A) Nominal 
B) Ordinal 
C) Interval 
D) Ratio

Question 11

The following are the ratings (0 to 4)given by 12 individuals for two possible new flavors of soft drinks.   Wilcoxon rank-sum is to be used. What is W,if flavor #1 is identified as population 1?

Accepted Answer

A) 153 
B) 156 
C) 144 
D) 139 
A) 153 
B) 156 
C) 144 
D) 139

Question 12

To apply the Kruskal-Wallis test,the samples selected from the populations must be dependent.

Accepted Answer

A) True 
 B)False

Question 13

For a given set of 12 ranked data values,the sum of the squared differences is 63.18. What is the test statistic value to test the hypothesis that the rank correlation coefficient is zero?

Accepted Answer

A) 0.221 
B) 0.673 
C) 0.779 
D) 0.327 
A) 0.221 
B) 0.673 
C) 0.779 
D) 0.327

Question 14

A study was conducted on the percent of total advertising dollars spent by 10 local firms for advertising in the press and on cable television. Results were ranked with a resulting sum of squared differences equal to 128. What is Spearman's coefficient of rank correlation?

Accepted Answer

A) −0.871 
B) +0.224 
C) +0.234 
D) −0.234 
A) −0.871 
B) +0.224 
C) +0.234 
D) −0.234

Question 15

Using the following data,the Wilcoxon signed-rank hypothesis test is used to test the hypothesis that the test results of a treatment after training are greater than the test results before the treatment. The Wilcoxon critical value is 3 for n = 7 with a 0.05 significance level. What decision should be made regarding the null hypothesis?

Accepted Answer

A) Reject the null hypothesis and conclude that the After is greater than Before. 
B) Reject the null hypothesis and conclude that the Before is greater than After. 
C) Fail to reject the null hypothesis. 
D) Reject the null hypothesis and conclude that there is no difference between the Before and After. 
A) Reject the null hypothesis and conclude that the After is greater than Before. 
B) Reject the null hypothesis and conclude that the Before is greater than After. 
C) Fail to reject the null hypothesis. 
D) Reject the null hypothesis and conclude that there is no difference between the Before and After.

Question 16

The Wilcoxon rank-sum test includes a variable,W. It is the sum of the observed values from the larger sample.

Accepted Answer

A) True 
 B)False

Question 17

Twenty-five college seniors were given two brands of organic hamburgers to sample: Burger A and Burger B. Four students preferred Burger A and 21 preferred Burger B. A statistician wants to determine if one of the burgers is preferred over the other. The null hypothesis for this scenario is ________.

Accepted Answer

A) H0: μ = 5.0 
B) H0: π = 5.0 
C) H0: μ = 0.5 
D) H0: π = 0.5 
A) H0: μ = 5.0 
B) H0: π = 5.0 
C) H0: μ = 0.5 
D) H0: π = 0.5

Question 18

The following are the ratings (0 to 4)given by 12 individuals for two possible new flavors of soft drinks.   Wilcoxon rank-sum is to be used. What is the z-test statistic?

Accepted Answer

A) −0.3464 
B) 0.3464 
C) 8.6602 
D) 0.2807 
A) −0.3464 
B) 0.3464 
C) 8.6602 
D) 0.2807

Question 19

In the Kruskal-Wallis test for the following data,what is the sum of the ranks for Sample 3?

Accepted Answer

A) 57 
B) 80 
C) 4 
D) 210 
A) 57 
B) 80 
C) 4 
D) 210

Question 20

A hypothesis test that rho is zero is conducted at the 5% level of significance. If Spearman's (rho)is 0.75 for a sample of 15 observations,what is the computed value of the t-statistic?

Accepted Answer

A) 0.456 
B) 4.088 
C) 4.391 
D) 2.236 
A) 0.456 
B) 4.088 
C) 4.391 
D) 2.236

To test the hypothesis,the Wilcoxon signed-rank test uses a ________.

In the Kruskal-Wallis test for the following data,what are the degrees of freedom?

The decision rule for a small sample sign test is based on a(n)________.

In the Wilcoxon signed-rank test,the ranks are ________.

The test statistic for the null hypothesis that the correlation among the ranks is equal to zero is a chi-square statistic.

Which statement is true when using the sign test and a large sample?

Which of the following tests would not be an example of a nonparametric method?

Which of the following statements is true regarding the sign test?

The Kruskal-Wallis one-way analysis of variance by ranks is especially appropriate to test whether three or more population means are equal if the data are measured with an ordinal scale and/or the populations are not normal.

For the coefficient of rank correlation,what scale is used to measure the data?

The following are the ratings (0 to 4)given by 12 individuals for two possible new flavors of soft drinks. Wilcoxon rank-sum is to be used. What is W,if flavor #1 is identified as population 1?

To apply the Kruskal-Wallis test,the samples selected from the populations must be dependent.

For a given set of 12 ranked data values,the sum of the squared differences is 63.18. What is the test statistic value to test the hypothesis that the rank correlation coefficient is zero?

A study was conducted on the percent of total advertising dollars spent by 10 local firms for advertising in the press and on cable television. Results were ranked with a resulting sum of squared differences equal to 128. What is Spearman's coefficient of rank correlation?

The Wilcoxon rank-sum test includes a variable,W. It is the sum of the observed values from the larger sample.

The following are the ratings (0 to 4)given by 12 individuals for two possible new flavors of soft drinks. Wilcoxon rank-sum is to be used. What is the z-test statistic?

In the Kruskal-Wallis test for the following data,what is the sum of the ranks for Sample 3?

A hypothesis test that rho is zero is conducted at the 5% level of significance. If Spearman's (rho)is 0.75 for a sample of 15 observations,what is the computed value of the t-statistic?

What Is Statistics

Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation

Describing Data: Numerical Measures

Describing Data: Displaying and Exploring Data

A Survey of Probability Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

One-Sample Tests of Hypothesis

Two-Sample Tests of Hypothesis

Analysis of Variance

Correlation and Linear Regression

Multiple Regression Analysis

Nonparametric Methods: Nominal Level Hypothesis Tests

Index Numbers

Time Series and Forecasting

Statistical Process Control and Quality Management

An Introduction to Decision Theory

Filters

Exam 16: Nonparametric Methods: Analysis of Ordinal Data

To test the hypothesis,the Wilcoxon signed-rank test uses a ________.

In the Kruskal-Wallis test for the following data,what are the degrees of freedom?

The decision rule for a small sample sign test is based on a(n)________.

In the Wilcoxon signed-rank test,the ranks are ________.

The test statistic for the null hypothesis that the correlation among the ranks is equal to zero is a chi-square statistic.

Which statement is true when using the sign test and a large sample?

Which of the following tests would not be an example of a nonparametric method?

Which of the following statements is true regarding the sign test?

The Kruskal-Wallis one-way analysis of variance by ranks is especially appropriate to test whether three or more population means are equal if the data are measured with an ordinal scale and/or the populations are not normal.

For the coefficient of rank correlation,what scale is used to measure the data?

The following are the ratings (0 to 4)given by 12 individuals for two possible new flavors of soft drinks. Wilcoxon rank-sum is to be used. What is W,if flavor #1 is identified as population 1?

To apply the Kruskal-Wallis test,the samples selected from the populations must be dependent.

For a given set of 12 ranked data values,the sum of the squared differences is 63.18. What is the test statistic value to test the hypothesis that the rank correlation coefficient is zero?

A study was conducted on the percent of total advertising dollars spent by 10 local firms for advertising in the press and on cable television. Results were ranked with a resulting sum of squared differences equal to 128. What is Spearman's coefficient of rank correlation?

The Wilcoxon rank-sum test includes a variable,W. It is the sum of the observed values from the larger sample.

The following are the ratings (0 to 4)given by 12 individuals for two possible new flavors of soft drinks. Wilcoxon rank-sum is to be used. What is the z-test statistic?

In the Kruskal-Wallis test for the following data,what is the sum of the ranks for Sample 3?

A hypothesis test that rho is zero is conducted at the 5% level of significance. If Spearman's (rho)is 0.75 for a sample of 15 observations,what is the computed value of the t-statistic?

What Is Statistics

Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation

Describing Data: Numerical Measures

Describing Data: Displaying and Exploring Data

A Survey of Probability Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

One-Sample Tests of Hypothesis

Two-Sample Tests of Hypothesis

Analysis of Variance

Correlation and Linear Regression

Multiple Regression Analysis

Nonparametric Methods: Nominal Level Hypothesis Tests

Index Numbers

Time Series and Forecasting

Statistical Process Control and Quality Management

An Introduction to Decision Theory

Filters