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 distributedpopulations, 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 27.1746 26.2547

s 8.364163 5.024193

a. Test the claim that males and females have the same mean body mass index(BMI).

What are the null and alternativehypotheses?

A.

H0: 1 2

H1: 1 < 2

B.

H0: 1 >_ 2

H1: 1 < 2

C.

H0: 1 = 2

H1: 1 > 2

D.

H0: 1 = 2

H1: 1 2

The teststatistic, t, is ____ . (Round to two decimal places asneeded.)

TheP-value is ____ . (Round to three decimal places asneeded.)

State the conclusion for the test.

A.

Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.

B.

Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.

C.

Failtoreject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.

D.

Failtoreject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.

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

____ < 12 < ____ .(Round to three decimal places asneeded.)

Does the confidence interval support the conclusion of thetest?

No,

Yes,

because the confidence interval contains

zero.

only positive values.

only negative values.