To choose: The option defining correct difference in the confidence interval
Answer to Problem 4PT
Option A is the correct choice.
Tom will have a wider confidence interval.
Explanation of Solution
Given information:
95% confidence interval constructed by Tom at 9 degree of freedom
95% confidence interval constructed by Janelle at 16.87 degree of freedom
Calculation:
Critical value at 9 degree of freedom
Critical value at 16.87 degree of freedom
It can be seen that as the degree of freedom increases, the critical value decreases.
If the critical value decreases, it will lead to a less wide confidence interval.
Hence, the confidence interval at 9 degree of freedom will be wider than the interval constructed at 16.87 degree of freedom.
Chapter 10 Solutions
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