Sports and Leisure
A study was conducted to compare the variability in times for men and women involved in collegiate swimming events. Independent random samples of 800-meter freestyle competitors were obtained, and the time (in minutes) was recorded for each swimmer. The data are summarized in the following table.
|
Group
|
Sample size
|
Sample variance
|
|
Men
|
11
|
0.1025
|
|
Women
|
12
|
0.1241
|
a. Find the critical values necessary to construct a 95% confidence interval for the ratio of population variances.
b. Construct the confidence interval.