Question 1

The sign test is an appropriate nonparametric test for dependent samples.

Accepted Answer

A) True 
 B)False  True

Question 2

We can apply parametric tests,such as the t-test,to ordinal or ranked level of measurement.

Accepted Answer

A) True 
 B)False  False

Question 3

A hypothesis test that rho is zero is conducted at the 5% level of significance. If Spearman's (rho)is 0.50 for a sample of 15 observations,what is the critical value?

Accepted Answer

A) ±2.160 
B) ±2.131 
C) ±1.771 
D) ±1.753 
A) ±2.160 
B) ±2.131 
C) ±1.771 
D) ±1.753 A

Question 4

What is the test statistic for the sign test if the sample size is large?

Accepted Answer

A) Chi-square 
B) Standard normal z 
C) Binomial 
D) Wilcoxon signed-rank 
A) Chi-square 
B) Standard normal z 
C) Binomial 
D) Wilcoxon signed-rank

Question 5

If a sign test is applied,what is the null hypothesis for a two-tailed test?

Accepted Answer

A) H0: π = 0.50 B) H0: π is not equal to 0.50 C) H0: π > 0.50 D) H0: π < 0.50 A) H0: π = 0.50 B) H0: π is not equal to 0.50 C) H0: π > 0.50 D) H0: π < 0.50

Question 6

A data set has six values: 10,12,21,26,26,and 26. What ranks would be assigned to 26?

Accepted Answer

A) 4,5,6 
B) 4,4,4 
C) 5,5,5 
D) 5.5,5.5,5.5 
A) 4,5,6 
B) 4,4,4 
C) 5,5,5 
D) 5.5,5.5,5.5

Question 7

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. What is the sum of the ranks?

Accepted Answer

A) 41 
B) 28 
C) 19 and −7 
D) 6 and 15 
A) 41 
B) 28 
C) 19 and −7 
D) 6 and 15

Question 8

When the paired observations are equal in a Wilcoxon signed-rank test hypothesis ________.

Accepted Answer

A) observations are removed from the analysis. 
B) the ranks are averaged. 
C) a zero is assigned to the difference and retained in the analysis. 
D) observations are removed from the analysis and n is not changed. 
A) observations are removed from the analysis. 
B) the ranks are averaged. 
C) a zero is assigned to the difference and retained in the analysis. 
D) observations are removed from the analysis and n is not changed.

Question 9

What is a null hypothesis for a one-tailed sign test?

Accepted Answer

A) H0: π = 0 
B) H0: π ≥ 1.00 
C) H0: π = 0.50 
D) H0: π ≤ 0.50 
A) H0: π = 0 
B) H0: π ≥ 1.00 
C) H0: π = 0.50 
D) H0: π ≤ 0.50

Question 10

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

Accepted Answer

A) 8 
B) 2 
C) 6 
D) 3 
A) 8 
B) 2 
C) 6 
D) 3

Question 11

Which of the following tests is not a distribution-free test?

Accepted Answer

A) Rank correlation 
B) Student's t 
C) Kruskal-Wallis 
D) Wilcoxon rank-sum 
A) Rank correlation 
B) Student's t 
C) Kruskal-Wallis 
D) Wilcoxon rank-sum

Question 12

Spearman's rank-order correlation coefficient may assume a value from −1 to +1.

Accepted Answer

A) True 
 B)False

Question 13

The Wilcoxon rank-sum test compares two dependent populations.

Accepted Answer

A) True 
 B)False

Question 14

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 sum of the ranks for flavor #2?

Accepted Answer

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

Question 15

To determine whether four population means are equal,a sample from each population was selected at random. Using the Kruskal-Wallis test,H was computed to be 2.09. What is our decision at the 0.05 level of risk?

Accepted Answer

A) Fail to reject the null hypothesis because 0.05  2.09. 
D) Reject the null hypothesis because 2.09 > critical value of 1.96. 
A) Fail to reject the null hypothesis because 0.05  2.09. 
D) Reject the null hypothesis because 2.09 > critical value of 1.96.

Question 16

For a given set of 12 ranked data values,the sum of the squared differences is 63.18. What is Spearman's coefficient of rank correlation for the data?

Accepted Answer

A) +0.7791 
B) −0.7791 
C) +0.2209 
D) −0.2209 
A) +0.7791 
B) −0.7791 
C) +0.2209 
D) −0.2209

Question 17

A one-tailed sign test is used to test for differences between two populations at the 0.10 level of significance. There were nine plus signs and five minus signs. What is the decision regarding the null hypothesis?

Accepted Answer

A) Fail to reject the null hypothesis. 
B) Reject the null hypothesis. 
C) Neither reject nor fail to reject the null hypothesis. 
D) Should have used a paired t-test. 
A) Fail to reject the null hypothesis. 
B) Reject the null hypothesis. 
C) Neither reject nor fail to reject the null hypothesis. 
D) Should have used a paired t-test.

Question 18

Twenty economists were sampled and asked to predict if the national economy would improve during the next 12 months. Eleven of the economists predicted an increase,two economists predicted no change,and seven economists predicted a decrease in the economy. Conduct a hypothesis test at the 0.10 significance level to determine if the majority of economists predict an increase. The null hypothesis is ________.

Accepted Answer

A) H0 : π = 0.5 
B) H0 : π ≠ 0.5 
C) H0 : π ≤ 0.5 
D) H0 : π ≥ 0.5 
A) H0 : π = 0.5 
B) H0 : π ≠ 0.5 
C) H0 : π ≤ 0.5 
D) H0 : π ≥ 0.5

Question 19

A nonparametric equivalent of a version of the ANOVA test,which tests the hypothesis that several population means are equal,is known as the ________.

Accepted Answer

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

Question 20

In the Kruskal-Wallis test for the following data,what is the sum of the ranks for Sample 1?

Accepted Answer

A) 61.5 
B) 163 
C) 6 
D) 253 
A) 61.5 
B) 163 
C) 6 
D) 253

The sign test is an appropriate nonparametric test for dependent samples.

We can apply parametric tests,such as the t-test,to ordinal or ranked level of measurement.

A hypothesis test that rho is zero is conducted at the 5% level of significance. If Spearman's (rho)is 0.50 for a sample of 15 observations,what is the critical value?

What is the test statistic for the sign test if the sample size is large?

If a sign test is applied,what is the null hypothesis for a two-tailed test?

A data set has six values: 10,12,21,26,26,and 26. What ranks would be assigned to 26?

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. What is the sum of the ranks?

When the paired observations are equal in a Wilcoxon signed-rank test hypothesis ________.

What is a null hypothesis for a one-tailed sign test?

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

Which of the following tests is not a distribution-free test?

Spearman's rank-order correlation coefficient may assume a value from −1 to +1.

The Wilcoxon rank-sum test compares two dependent populations.

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 sum of the ranks for flavor #2?

To determine whether four population means are equal,a sample from each population was selected at random. Using the Kruskal-Wallis test,H was computed to be 2.09. What is our decision at the 0.05 level of risk?

For a given set of 12 ranked data values,the sum of the squared differences is 63.18. What is Spearman's coefficient of rank correlation for the data?

A one-tailed sign test is used to test for differences between two populations at the 0.10 level of significance. There were nine plus signs and five minus signs. What is the decision regarding the null hypothesis?

A nonparametric equivalent of a version of the ANOVA test,which tests the hypothesis that several population means are equal,is known as the ________.

In the Kruskal-Wallis test for the following data,what is the sum of the ranks for Sample 1?

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

The sign test is an appropriate nonparametric test for dependent samples.

We can apply parametric tests,such as the t-test,to ordinal or ranked level of measurement.

A hypothesis test that rho is zero is conducted at the 5% level of significance. If Spearman's (rho)is 0.50 for a sample of 15 observations,what is the critical value?

What is the test statistic for the sign test if the sample size is large?

If a sign test is applied,what is the null hypothesis for a two-tailed test?

A data set has six values: 10,12,21,26,26,and 26. What ranks would be assigned to 26?

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. What is the sum of the ranks?

When the paired observations are equal in a Wilcoxon signed-rank test hypothesis ________.

What is a null hypothesis for a one-tailed sign test?

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

Which of the following tests is not a distribution-free test?

Spearman's rank-order correlation coefficient may assume a value from −1 to +1.

The Wilcoxon rank-sum test compares two dependent populations.

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 sum of the ranks for flavor #2?

To determine whether four population means are equal,a sample from each population was selected at random. Using the Kruskal-Wallis test,H was computed to be 2.09. What is our decision at the 0.05 level of risk?

For a given set of 12 ranked data values,the sum of the squared differences is 63.18. What is Spearman's coefficient of rank correlation for the data?

A one-tailed sign test is used to test for differences between two populations at the 0.10 level of significance. There were nine plus signs and five minus signs. What is the decision regarding the null hypothesis?

A nonparametric equivalent of a version of the ANOVA test,which tests the hypothesis that several population means are equal,is known as the ________.

In the Kruskal-Wallis test for the following data,what is the sum of the ranks for Sample 1?

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