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Use either the P-value method or the traditional method oftesting hypothesis BMI

ID: 2953939 • Letter: U

Question

Use either the P-value method or the traditional method oftesting hypothesis

BMI for Miss America. The trend of thinner Miss America winners hasgenerated charges that the content encourages unhealthy diet habitsamong young women. Listed before are body mass indexes (BMI) forrecent Miss America winners. Use a 0.01 significance level to testthe claim that recent Miss America winners are from a populationwith a mean BMI less than 20.16 which was the BMI for winners fromthe 1920s and 1930s. Do recent winner appear to be significantlydifferent from those in the 1920s and 1930s? Use either the P-value method or the traditional method oftesting hypothesis

BMI for Miss America. The trend of thinner Miss America winners hasgenerated charges that the content encourages unhealthy diet habitsamong young women. Listed before are body mass indexes (BMI) forrecent Miss America winners. Use a 0.01 significance level to testthe claim that recent Miss America winners are from a populationwith a mean BMI less than 20.16 which was the BMI for winners fromthe 1920s and 1930s. Do recent winner appear to be significantlydifferent from those in the 1920s and 1930s?

Explanation / Answer

The test hypothesisis

H0 : = 20.16

H1 : < 20.16

Test statistic is t = 3.732CV

z =2.82

P-value < 0.005 tech0.0023.

RejectH0. Recent winner appear to besignificantly different than those who were ourgreat-grandmothers.