The Basic Practice of Statistics
The Basic Practice of Statistics
7th Edition
ISBN: 9781464142536
Author: David S. Moore, William I. Notz, Michael A. Fligner
Publisher: W. H. Freeman
Question
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Chapter 21, Problem 21.18CYS
To determine

To identify: The method to use the confidence interval for the mean score of all Michigan twelfth graders.

Expert Solution & Answer
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Answer to Problem 21.18CYS

To give a confidence interval for the mean score of all Michigan twelfth graders, you would use the one-sample t interval.

Explanation of Solution

Reason for the correct answer:

Here, only one independent random sample of twelfth graders in the Michigan will be used to get a confidence interval for the mean score 154 out of 300 of all twelfth graders. Hence, the one-sample t interval is used to find the confidence interval for the mean score of all Michigan twelfth graders.

Reason for the incorrect answer:

The two sample t interval and matched pairs t interval is incorrect options because there is only one sample (of twelfth-graders) described in the given problem.

Conclusion:

Therefore, the correct option is (c).

Statistics Concept Introduction

Introduction:

The general conditions to use the one-sample t interval are given below:

  • Simple random sample from the population.
  • Observations are from a normal population.

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