Question

Conduct the stated hypothesis test for  μ 1− μ 2. μ 1− μ 2. Assume that the samples are independent and randomly selected from normal populations with equal population variances ( σ 12= σ 22)( σ 12= σ 22).

H0 :  μ 1− μ 2=0H0 :  μ 1− μ 2=0	H1 :  μ 1− μ 2 < 0H1 :  μ 1− μ 2 < 0	α =0.025 α =0.025
n1=27n1=27	x̄ 1=8.76 x̄ 1=8.76	s1=1.26s1=1.26
n2=25n2=25	x̄ 2=9.44 x̄ 2=9.44	s2=1.29

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

Answer 1