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 0.05 significance level for both parts.

Male BMI

Female BMI

mu

mu 1

1

mu 2

2

n

46

46

46

46

x overbar

x

27.2793

27.2793

25.1675

25.1675

s

7.603888

7.603888

4.695198

4.695198

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

What are the null and alternativehypotheses?

A.

Upper H 0

H0: mu 1

1not equals

mu 2

2

Upper H 1

H1: mu 1

1less than

2

B.

Upper H 0

H0: mu 1

1equals

=mu 2

2

Upper H 1

H1: mu 1

1not equals

mu 2

2

C.

Upper H 0

H0: mu 1

1equals

=mu 2

2

Upper H 1

H1: mu 1

1greater than

>mu 2

2

D.

Upper H 0

H0: mu 1

1greater than or equals

mu 2

2

Upper H 1

H1: mu 1

1less than

2

The teststatistic, t, is

nothing

. (Round to two decimal places asneeded.)

TheP-value is

nothing

. (Round to three decimal places asneeded.)

State the conclusion for the test.

A.

Reject

Reject the null hypothesis. There is not

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

B.

Fail to reject

Failtoreject the null hypothesis. There is not

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

C.

Fail to reject

Failtoreject the null hypothesis. There is

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

D.

Reject

Reject the null hypothesis. There is

is 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.

nothing

less than

12less than

<

nothing

(Round to three decimal places asneeded.)

Does the confidence interval support the conclusion of thetest?

Yes,

No,

because the confidence interval contains

only negative values.

zero.

only positive values.

Click to select your answer(s).