The Basic Practice of Statistics
The Basic Practice of Statistics
8th Edition
ISBN: 9781319042578
Author: David S. Moore, William I. Notz, Michael A. Fligner
Publisher: W. H. Freeman
Question
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Chapter 32, Problem 32.12CYS
To determine

To identify: Which of the following statements is true.

Expert Solution & Answer
Check Mark

Answer to Problem 32.12CYS

Correct answer: Option (a), “we must use a permutation test because we cannot be sure if the data come from a normal population”.

Explanation of Solution

Reason for the correct answer:

The sampling distributions are applicable without the assumptions of normal distribution for any sample sizes. Moreover, the subjects are randomly assigned to the subjects.

Therefore, the correct option is (a).

Reason for the incorrect answer:

Option (b) and option (c) are incorrect because the permutation tests assume that subjects are a random sample from some population and the football players in the study were selected by random sampling.

Conclusion:

The statement “we must use a permutation test because we cannot be sure if the data come from a normal population” is true.

Statistics Concept Introduction

Introduction:

Permutation test: It is useful for the designed experiment. Here, the treatments are randomly assigned to the subjects. This test is based on the permutation resamples which are selected at random from the original data without replacement.

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