A sample of 65 observations is selected from one population with a population standard deviation of 0.75. The sample mean is 2.67. A sample of 50 observations is selected from a second population with a population standard deviation of 0.66. The sample mean is 2.59. Conduct the following test of hypothesis using the .08 significance level.

H0 : μ1 ≤ μ2

H1 : μ1 > μ2

a. This a one-tailed test.

b.

State the decision rule. (Negative values should be indicated by a minus sign. Round your answer to 2 decimal places.)

c. Compute the value of the test statistic. (Round your answer to 2 decimal places.)

d. What is your decision regarding H0?

e. What is the p-value? (Round your answer to 4 decimal places.)