To perform a test of the null and alternative hypotheses shownbelow, random samples were selected from the two normally distributed populations with equal variances. The data are shown below. Test the null hypothesis using an alpha level equal to 0.10.

H0:

12=0

HA:

120

Sample from Population 1 Sample from Population 2

37 34

39 44

29 38

36 35

36 35

37 38

27 33

31 37

42 38

33 32

Determine the rejection region for the test statistic t. Select the correct choice below and fill in the answer box(es) to choice.

(Round to four decimal places as needed.)

A.t>??????

B.t

C.t???????

Calculate the value of the test statistic.

t=?????????

(Round to four decimal places as needed.)

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