Conduct the stated hypothesis test for 12.12. Assume that the samples are independent and randomly selected from normal populations with equal population variances (12=22)(12=22).

H0:12=0	H1:12<0	=0.005
n1=30	x1=8.64	s1=1.21
n2=22	x2=9.37	s2=1.34

T-Distribution Table

a. Calculate the test statistic.

t=

Round to three decimal places if necessary

b. Determine the critical value(s) for the hypothesis test.

• +

Round to three decimal places if necessary

c. Conclude whether to reject the null hypothesis or not based on the test statistic.

Reject

Fail to Reject