Q. 15 - The Practice of Statistics for AP

Question

The AP Statistics class in Exercise $1$ also asked an SRS of $20$ boys at their school how many shoes they have. A $95\%$ confidence interval for the difference in the population means (girls – boys) is $10.9$ to $26.5$. Interpret the confidence interval and the confidence level. 

Step-by-Step Solution

Answer

Interpretation confidence level: The confidence interval contains the true difference in population means, on average, in $95\%$ of all samples.

Step 1: Given Information

A $95\%$ confidence interval for the difference in the population means (girls – boys) is $10.9$ to $26.5$.

Step 2: Explanation

The given $95\%$ confidence interval for the difference in population means is $10.9$ to $26.5$.

Interpretation: We are $95\%$ confident that the difference in the population means between girls and boys is between $10.9$ and $26.5$.