Test the indicated claim about the variances or standard deviation of two populations. Assume that both samples are independent simple random samples from populations having normal distributions.

Random samples of 13 women and 11 men yielded the following scores on a test:

women: 70, 78, 62, 96, 75, 68, 41, 74, 80, 47, 73, 94, 65

men: 72, 60, 52, 87, 66, 74, 95, 50, 81, 70, 72

Use a 0.05 significance level to test the claim that test scores for women have a larger standard deviation than test scores for men.