Test the claim about the difference between two population means 1 and 2 at the level of significance . Assume the samples are random andindependent, and the populations are normally distributed.

Claim: 12; =0.10. Assume 2122

Samplestatistics:

x1=2405, s1=178, n1=12 and

x2=2295, s2=50, n2=9

Identify the null and alternative hypotheses. Choose the correct answer below.

A.

H0: 12

Ha: 1=2

B.

H0: 1>2

Ha: 12

C.

H0: 1=2

Ha: 12

D.

H0: 12

Ha: 1>2

E.

H0: 12

Ha: 1<2

F.

H0: 1<2

Ha: 12

Find the standardized test statistic t.

t=

nothing

(Round to two decimal places asneeded.)

Find theP-value.

P=

nothing

(Round to three decimal places asneeded.)

Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.

Reject

Fail to reject

H0. There

is

is not

enough evidence at the 10% level of significance to reject the claim.