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Statistics: BMI for Miss America

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Assume that both samples are independant simple random samples from populations having normal distributions.
listed below are body mass indexes (BMI) for miss america winners from two different time periods. Use a 0.05 significance level to test the claim that winners from both time periods have BMI values with the same amount of variation.
BMI for recent winners: 19.5 20.3 19.6 20.2 17.8 17.9 19.1 18.8 17.6 16.8
BMI from 1920s and 1930s: 20.4 21.9 22.1 22.3 20.3 18.8 18.9 19.4 18.4 19.1

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Solution Summary

The expert examines the BMIs for Miss America. A 0.05 significance level is used.

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H0: There is no significant difference in the standard deviations of BMI) for miss America winners from two different time periods.

H1: There is significant difference in the standard deviations of BMI) for miss America winners from two different time periods.

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