Assume that both populations are normally distributed.

(a) Test whether 12 at the =0.05 level of significance for the given sample data.

(b) Construct a 95% confidence interval about 12.

Population 1

Population 2

n

11

11

x

10.6

7.1

s

2.8

3

(a) Test whether 12 at the =0.05 level of significance for the given sample data.

Determine the null and alternative hypothesis for this test.

A.

H0:1=2

H1:12

Your answer is correct.

B.

H0:12

H1:1>2

C.

H0:12

H1:1=2

D.

H0:1=2

H1:1>2

Detemine theP-value for this hypothesis test.

P=

0.010

0.010 (Round to three decimal places asneeded.)

Should the null hypothesis berejected?

A.

RejectH0, there is sufficient evidence to conclude that the two populations have different means.

Your answer is correct.

B.

DonotrejectH0, there isnot sufficient evidence to conclude that the two populations have different means.

C.

DonotrejectH0, there is sufficient evidence to conclude that the two populations have different means.

D.

RejectH0, there isnot sufficient evidence to conclude that the two populations have different means.

(b) Construct a 95% confidence interval about 12.

We are 95% confident that the mean difference is between

nothing

and

nothing

.

(Round to two decimal places as needed. Use ascendingorder.)

Enter your answer in the edit fields and then click Check Answer.