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

27.7796

25.6933

s

7.609888

4.297134

A.

1.The test statistic, t,

2.The P-value is

3.State the conclusion for the test.

4.Is it valid to argue that magnets might appear to be effective if the sample sizes are larger?

b. Construct a confidence interval suitable for testing the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment.

negative 0.438

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