Skip to main content
10. Hypothesis Testing for Two Samples - Part 1 of 2!
10. Hypothesis Testing for Two Samples / Two Means - Known Variance / Problem 11
Problem 11

A researcher compares the mean weekly hours spent on exercise for residents of two towns. A random sample from Town A has size n1=18n_1=18, mean xˉ1=12.4\(\bar{x}\)_1=12.4 hours, and standard deviation s1=3.1s_1=3.1. A random sample from Town B has size n2=22n_2=22, mean xˉ2=9.7\(\bar{x}\)_2=9.7 hours, and standard deviation s2=2.8s_2=2.8. Assume both populations are approximately normal with equal variances. Construct a 90%90\% confidence interval for μ1μ2\(\mu\)_1-\(\mu\)_2.