Question

Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed.

Population 1      Population 2

n             26                     16

x           49.8                   40.1

s            6.8                    13.2

(a) Test whether μ1 > μ2  at the α = 0.01 level of significance for the given sample  data.

(b) Construct a 90% confidence interval about μ1 − μ2 .

(a) Identify the null and alternative hypotheses for this test.

A. H0 : μ1 ≠ μ2  

      H1 : μ1 = μ2                    

B. H0 : μ1 = μ2

      H1 : μ1 > μ2

C. H0 : μ1 = μ2

      H1 : μ1 < μ2

D. H0 : μ1 < μ2

      H1 : μ1 = μ2

E. H0 : μ1 > μ2

       H1 : μ1 = μ2

F. H0 : μ1 = μ2

       H1 : μ1 ≠ μ2

Find the test statistic for this hypothesis test.______________(Round to two decimal places as needed.)

Determine the P-value for this hypothesis test_____________(Round to three decimal places as needed.)

State the conclusion for this hypothesis test.

A. Do not reject H0 . There is not sufficient evidence at the α = 0.01 level of significance to conclude that μ1 > μ2 .

B. Do not reject H0 . There is sufficient evidence at the α = 0.01 level of significance to conclude that μ1 > μ2 .

C. Reject H0 . There is not sufficient evidence at the α = 0.01 level of significance to conclude that μ1 > μ2 .

D. Reject H0 . There is sufficient evidence at the α = 0.01 level of significance to conclude that μ1 > μ2 .

(b) The 90% confidence interval about μ1 − μ2 is the range from a lower bound of____________ to an upper bound of_______________ (Round to three decimal places as needed.)

Answer 1