   Chapter 8.2, Problem 10P Understanding Basic Statistics

8th Edition
Charles Henry Brase + 1 other
ISBN: 9781337558075

Solutions

Chapter
Section Understanding Basic Statistics

8th Edition
Charles Henry Brase + 1 other
ISBN: 9781337558075
Textbook Problem

Critical Thinking Lorraine was in a hum when she computed a confidence interval for µ. Because a was not known, she used a Student's t distribution. However, she accidentally used degrees of freedom n instead of n - 1, Was her confidence interval longer or shorter than one found using the correct degrees of freedom n - 1 ? Explain.

To determine

Whether the Lorraine confidence interval was longer or shorter than one found using the correct degrees of freedom n-1.

Explanation

As the degrees of freedom increases, the critical value decreases. Hence, the confidence interval is shorter than one found using the correct degrees of freedom n-1...

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