A sample of 57 observations is selected from one population with a population standard deviation of 0.73. The sample mean is 2.62. A sample of 54 observations is selected from a second population with a population standard deviation of 0.64. The sample mean is 2.5. Conduct the following test of hypothesis using the 0.1 significance level: H0: μ1 – μ2 ≤ 0 H1: μ1 – μ2 > 0
a. Is this a one-tailed or a two-tailed test? This is a (Click to select) -tailed test.
b. State the decision rule. (Round the final answer to 2 decimal places.) The decision rule is to reject H0 if z is (Click to select) .
c. Compute the value of the test statistic. (Negative answer should be indicated by a minus sign. Round the final answer to 2 decimal places.) The test statistic is z
d. What is your decision regarding H0? H0 is (Click to select) .
e. What is the p-value? (Round the final answer to 4 decimal places.) The p-value is .
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