Solved: In Exercises 520, assume that the two samples are

Chapter 9, Problem 15

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In Exercises 520, assume that the two samples are independent simple random samplesselected from normally distributed populations, and do not assume that the populationstandard deviations are equal. Do the following:a. Test the given claim using the P-value method or critical value method.b. Construct a confidence interval suitable for testing the given claim. BMI 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 persons bodymass index (BMI) is computed by dividing weight (kg) by the square of height (m). Givenbelow are the BMI statistics for random samples of males and females from Data Set 1 inAppendix B. Use a 0.05 significance level to test the claim that males and females have thesame mean BMI.Male BMI n = 40, x = 28.44075, s = 7.394076Female BMI n = 40, x = 26.6005, s = 5.359442