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Question #3 Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent simple

Question #3

Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a

0.01 significance level for both parts.

Male BMI

Female BMI

1

2

n

48

48

x

27.9824

25.8208

s

7.643746

5.468678

a.

The test statistic, t, is

______________.

(Round to two decimal places as needed.)

The P-value is

________________.

(Round to three decimal places as needed.)

b. Construct a confidence interval suitable for testing the claim that males and females have the same mean BMI.

__________< 1 2 < _____________

(Round to three decimal places as needed.)

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