Chapter 13, Problem 58P

Use the following information to answer the next three exercises. Two cyclists are comparing the variances of their overall

paces going uphill. Each cyclist records his or her speeds going up 35 hills. The first cyclist has a variance of 23.8 and

the second cyclist has a variance of 32.1. The cyclists want to see if their variances are the same or different. Assume that

commute times are normally distributed.

At the 5% significance level, what can we say about the cyclists’ variances?