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	47	47
x	27.9155	25.6719
s	8.042009	5.842815

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Part 1

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

What are the null and alternativehypotheses?

A.

H0:12

H1:1<2

B.

H0:12

H1:1<2

C.

H0:1=2

H1:1>2

D.

H0:1=2

H1:12

Your answer is correct.

Part 2

The teststatistic, t, is

1.55

(Round to two decimal places asneeded.)

Part 3

TheP-value is

0.128

(Round to three decimal places asneeded.)

Part 4

State the conclusion for the test.

A.

Reject

the null hypothesis. There

isnot

sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.

B.

Failtoreject

the null hypothesis. There

is

sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.

C.

Reject 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 isnot sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.

Your answer is correct.

Part 5

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

enter your response here<12

(Round to three decimal places asneeded.)