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 
23.8 
22.3 
32.9 
27.4 
27.5 
31.7 
25.9 
23.3 
22.1 
25.7 


Women 
17.5 
21.5 
22.6 
31.8 
17.9 
20.6 
17.2 
38.3 
19.5 
24.6 
Construct a 99% confidence interval estimate of the standard deviation of BMIs for men
_ < σ men < _
Construct a 99% confidence interval estimate of the standard deviation of BMIs for women
_ < σ women < _
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