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The body mass index (BMI) for a sample of men and a sample of women are given below. Assume the samples are simple random samples

The body mass index (BMI) for a sample of men and a sample of women are given below. Assume the samples are simple random samples obtained from populations with normal distributions.

Men: 24.3 29.3 20.2 24.1 32.1 29.2 32.8 30.1 28.8 19.5

Women: 18.9 17.8 18.7 34.7 19.8 17.7 22.6 35.5 17.9 19.6

a. Construct a 99% confidence interval estimate of the standard deviation of BMI's for men.

b. Construct a 99% confidence interval estimate of the standard deviation of BMI's for women.

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