You are given the null and alternative hypotheses and the sample information shown below. Complete parts a and b below.

H0:

12=0

HA:

120

Sample 1 Sample 2

n1=125 n2=130

s1=38 s2= 36

x overbarx1= 140 x overbarx2= 135

a. Develop the appropriate decision rule, assuming a significance level of 0.01 is to be used.

Select the correct choice below and fill in the answer box(es) to choice.

(Round to two decimal places as needed.)

A.Reject H0 if t<___or t>___

B.Reject H0 if tl<_____

C.Reject H0 if t>_____

b. Test the null hypothesis and indicate whether the sample information leads you to reject or fail to reject the null hypothesis. Use the test statistic approach.

Calculate the value of the test statistic.

t=jQuery22408665564034692326_1606226113559????????

(Round to two decimal places as needed.)

Since the test statistic (is not/ is) in the rejection region, (reject/ fail to reject) the null hypothesis. There is (sufficient/ insufficient) evidence at =0.01 to conclude that the two population means are different.