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.
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.)