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(Solved): We know that the mean weight of men is greater than the mean weight of women, and the mean heig ...



We know that the mean weight of men is greater than the mean weight of women, and the mean height of men is greater than the mean height of women. A person’s body mass index (BMI) is computed by dividing weight (kg) by the square of height (m). Given below are the BMI statistics for random samples of males and females.

Use a 0.05 significance level to test the claim that males and females have the same mean BMI.


Male BMI: n1 = 40, ?x1 = 28.44, s1 = 7.39
Female BMI: n2 = 40, ?x2 = 26.60, s2 = 5.35

Use the region rejection approach and p-value approach.

 



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SOLUTION Given Data : x¯1 = 28.44 s1 = 7.39 n1 = 40 x¯2 = 26.60 s2 = 5.35 n2 = 40 Significance level, ?= 0.05
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