Question 1

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 2

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. At the 0.05 level of significance, what is the decision?

Accepted Answer

A)  Fail to reject null hypothesis; critical value is  $\pm$1.65 
B)  Fail to reject null hypothesis; critical value is  $\pm$1.96 
C)  Reject null hypothesis; critical value is 0.1732 
D)  Reject null hypothesis; critical value is 0.3464 
A)  Fail to reject null hypothesis; critical value is  $\pm$1.65 
B)  Fail to reject null hypothesis; critical value is  $\pm$1.96 
C)  Reject null hypothesis; critical value is 0.1732 
D)  Reject null hypothesis; critical value is 0.3464

Question 3

For the rank correlation coefficient, what test statistic is used to test the null hypothesis that the correlation is zero?

Accepted Answer

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

Question 4

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

Accepted Answer

A)  H0: $\pi$ = 0 
B)  H0: $\pi$ $\le$1.00 
C)  H0: $\pi$ = 0.50 
D)  H0:$\pi$ $\le$ 0.50 
A)  H0: $\pi$ = 0 
B)  H0: $\pi$ $\le$1.00 
C)  H0: $\pi$ = 0.50 
D)  H0:$\pi$ $\le$ 0.50

Question 5

For a given set of twelve 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)  -2.228 
B)  2.228 
C)  3.948 
D)  -3.948 
A)  -2.228 
B)  2.228 
C)  3.948 
D)  -3.948

Question 6

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)   $\pm$2.160 
B)   $\pm$2.131 
C)   $\pm$1.771 
D)  $\pm$1.753 
A)   $\pm$2.160 
B)   $\pm$2.131 
C)   $\pm$1.771 
D)  $\pm$1.753

Question 7

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

Accepted Answer

A)  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)  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 8

What is a requirement that must be met before the Kruskal-Wallis one-way analysis of variance by ranks test can be applied?

Accepted Answer

A)  Populations must be normal or near normal 
B)  Populations must be independent 
C)  Population standard deviations must be equal 
D)  Data must be at least interval level 
A)  Populations must be normal or near normal 
B)  Populations must be independent 
C)  Population standard deviations must be equal 
D)  Data must be at least interval level

Question 9

Two movie reviewers gave their ratings (0 to 4 stars) to ten movies released this past month as follows:   The rank order correlation is to be used.
What are the degrees of freedom?

Accepted Answer

The answer of Two movie reviewers gave their ratings (0...

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

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. At the 0.05 level of significance, what is the decision?

For the rank correlation coefficient, what test statistic is used to test the null hypothesis that the correlation is zero?

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

For a given set of twelve 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 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?

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

What is a requirement that must be met before the Kruskal-Wallis one-way analysis of variance by ranks test can be applied?

Two movie reviewers gave their ratings (0 to 4 stars) to ten movies released this past month as follows: The rank order correlation is to be used. What are the degrees of freedom?

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

Index Numbers

Time Series and Forecasting

Nonparametric Methods: Goodness-Of-Fit Tests

Statistical Process Control and Quality Management

An Introduction to Decision Theory

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Exam 18: Nonparametric Methods: Analysis of Ranked Data

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

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. At the 0.05 level of significance, what is the decision?

For the rank correlation coefficient, what test statistic is used to test the null hypothesis that the correlation is zero?

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

For a given set of twelve 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 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?

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

What is a requirement that must be met before the Kruskal-Wallis one-way analysis of variance by ranks test can be applied?

Two movie reviewers gave their ratings (0 to 4 stars) to ten movies released this past month as follows: The rank order correlation is to be used. What are the degrees of freedom?

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

Index Numbers

Time Series and Forecasting

Nonparametric Methods: Goodness-Of-Fit Tests

Statistical Process Control and Quality Management

An Introduction to Decision Theory

Filters