Exam 15: Nonparametric Statistics

Researchers wish to test the effectiveness of a drug designed to treat depression.Seven clinically depressed patients are given a standardized depression test before taking the drug and are evaluated 4 weeks later using the same test.It is known that the scores from this particular test are not normally distributed.The scores are shown here. Use a sign test to conclude whether the drug can be associated with a median decrease in depression level.Choose the correct p-value and conclusion.(Use α = 0.05.)

(Multiple Choice)

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Question 21

A corporation wishes to evaluate the effectiveness of a new employee training program.Workers on two independent assembly lines are monitored, and the amount of time (in minutes) to complete a standardized assembly procedure is recorded for each.The distribution of assembly times is known to be heavily left-skewed.Based on the given sample information, does it appear that the training program is associated with a reduced median assembly time? Use the Wilcoxon rank-sum test to make your decision.Select the correct critical value (CV), test statistic (TS), and decision.(Use α = 0.05.)

(Multiple Choice)

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Question 22

If the underlying distributions are known to be symmetric, we can use the Wilcoxon rank-sum test to compare two independent population means.This is so because:

(Multiple Choice)

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Question 23

What is the nearest critical value for a Wilcoxon sign-ranked test with 15 nonzero differences, Ha: , and α = 0.05?

(Multiple Choice)

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Question 24

In determining the Spearman's rank correlation coefficient, what is done if multiple observations within either variable have the same value?

(Multiple Choice)

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Question 25

The Spearman's rank correlation coefficient is a nonparametric indicator of:

(Multiple Choice)

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Question 26

The _________________ test is appropriate for testing whether a sequence of observations is not random.

(Multiple Choice)

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Question 27

An athletic trainer is concerned that his athletes are not drinking enough water during games.He randomly samples 11 previous games with comparable temperature and humidity and records the amount of water consumed by the team in liters (shown in the table).What is the null hypothesis? Amount of Water Consumed per Game (in liters)

(Multiple Choice)

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Question 28

For the Kruskal-Wallis test, if the decision from the test is "reject H₀," then:

(Multiple Choice)

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Question 29

Calculate the Spearman's rank correlation coefficient for the following data set: .

(Multiple Choice)

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Question 30

The runs test is a nonparametric test.This means that:

(Multiple Choice)

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Question 31

Perform a Wilcoxon rank-sum test on the two independent samples shown here to see if it supports a conclusion that median 1 is larger than median 2.Select the correct critical value (CV), test statistic (TS), and decision.(Use α = 0.01.) .

(Multiple Choice)

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Question 32

Which of the following statements about Spearman's rank correlation coefficient is false?

(Multiple Choice)

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Question 33

What is the primary difference between parametric and nonparametric tests of significance?

(Multiple Choice)

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Question 34

The sign test is a nonparametric procedure for testing:

(Multiple Choice)

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Question 35

Suppose you have data that you wish to use for the Wilcoxon rank-sum test.The 12th, 13th, and 14th values in your ordered data are all $50.The 11th value is less than $50, and the 15th value is more than $50.What are the appropriate ranks for the three $50 values?

(Multiple Choice)

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Question 36

In a Kruskal-Wallis test for comparing three populations, the test statistic is calculated as H = 2.80.If the test is conducted at the 5% significance level, then:

(Multiple Choice)

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Question 37

Which of the following statements is true?

(Multiple Choice)

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Question 38

For the Kruskal-Wallis test, the test statistic follows a chi-square distribution with degrees of freedom if H₀ is true and:

(Multiple Choice)

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Question 39

In general, a primary reason for choosing a nonparametric procedure over a parametric one is:

(Multiple Choice)

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Question 40

Showing 21 - 40 of 66

If the underlying distributions are known to be symmetric, we can use the Wilcoxon rank-sum test to compare two independent population means.This is so because:

What is the nearest critical value for a Wilcoxon sign-ranked test with 15 nonzero differences, Ha: , and α = 0.05?

In determining the Spearman's rank correlation coefficient, what is done if multiple observations within either variable have the same value?

The Spearman's rank correlation coefficient is a nonparametric indicator of:

The _________________ test is appropriate for testing whether a sequence of observations is not random.

For the Kruskal-Wallis test, if the decision from the test is "reject H₀," then:

Calculate the Spearman's rank correlation coefficient for the following data set: .

The runs test is a nonparametric test.This means that:

Perform a Wilcoxon rank-sum test on the two independent samples shown here to see if it supports a conclusion that median 1 is larger than median 2.Select the correct critical value (CV), test statistic (TS), and decision.(Use α = 0.01.) .

Which of the following statements about Spearman's rank correlation coefficient is false?

What is the primary difference between parametric and nonparametric tests of significance?

The sign test is a nonparametric procedure for testing:

Suppose you have data that you wish to use for the Wilcoxon rank-sum test.The 12th, 13th, and 14th values in your ordered data are all $50.The 11th value is less than $50, and the 15th value is more than $50.What are the appropriate ranks for the three $50 values?

In a Kruskal-Wallis test for comparing three populations, the test statistic is calculated as H = 2.80.If the test is conducted at the 5% significance level, then:

Which of the following statements is true?

For the Kruskal-Wallis test, the test statistic follows a chi-square distribution with degrees of freedom if H₀ is true and:

In general, a primary reason for choosing a nonparametric procedure over a parametric one is:

Why Study Statistics

An Introduction to Statistics and Statistical Inference

Tables and Graphs for Summarizing Data

Numerical Summary Measures

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Confidence Intervals Based on a Single Sample

Hypothesis Tests Based on a Single Sample

Confidence Intervals and Hypothesis Tests Based on Two Samples or Treatments

The Analysis of Variance

Correlation and Linear Regression

Categorical Data and Frequency Tables

Filters

Exam 15: Nonparametric Statistics

If the underlying distributions are known to be symmetric, we can use the Wilcoxon rank-sum test to compare two independent population means.This is so because:

What is the nearest critical value for a Wilcoxon sign-ranked test with 15 nonzero differences, Ha: , and α = 0.05?

In determining the Spearman's rank correlation coefficient, what is done if multiple observations within either variable have the same value?

The Spearman's rank correlation coefficient is a nonparametric indicator of:

The _________________ test is appropriate for testing whether a sequence of observations is not random.

For the Kruskal-Wallis test, if the decision from the test is "reject H₀," then:

Calculate the Spearman's rank correlation coefficient for the following data set: ​ .

The runs test is a nonparametric test.This means that:

Perform a Wilcoxon rank-sum test on the two independent samples shown here to see if it supports a conclusion that median 1 is larger than median 2.Select the correct critical value (CV), test statistic (TS), and decision.(Use α = 0.01.) ​ .

Which of the following statements about Spearman's rank correlation coefficient is false?

What is the primary difference between parametric and nonparametric tests of significance?

The sign test is a nonparametric procedure for testing:

Suppose you have data that you wish to use for the Wilcoxon rank-sum test.The 12th, 13th, and 14th values in your ordered data are all $50.The 11th value is less than $50, and the 15th value is more than $50.What are the appropriate ranks for the three $50 values?

In a Kruskal-Wallis test for comparing three populations, the test statistic is calculated as H = 2.80.If the test is conducted at the 5% significance level, then:

Which of the following statements is true?

For the Kruskal-Wallis test, the test statistic follows a chi-square distribution with degrees of freedom if H₀ is true and:

In general, a primary reason for choosing a nonparametric procedure over a parametric one is:

Why Study Statistics

An Introduction to Statistics and Statistical Inference

Tables and Graphs for Summarizing Data

Numerical Summary Measures

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Confidence Intervals Based on a Single Sample

Hypothesis Tests Based on a Single Sample

Confidence Intervals and Hypothesis Tests Based on Two Samples or Treatments

The Analysis of Variance

Correlation and Linear Regression

Categorical Data and Frequency Tables

Filters

Calculate the Spearman's rank correlation coefficient for the following data set: .

Perform a Wilcoxon rank-sum test on the two independent samples shown here to see if it supports a conclusion that median 1 is larger than median 2.Select the correct critical value (CV), test statistic (TS), and decision.(Use α = 0.01.) .