A sample of 31 observations is selected from a normal population. The sample mean is 11, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.05 significance level. H0: μ ≤ 10 H1: μ > 10 a. Is this a one- or two-tailed test? Two-tailed test One-tailed test b. What is the decision rule? Reject H0 when z ≤ 1.645 Reject H0 when z > 1.645 c. What is the value of the test statistic? (Round your answer to 2 decimal places.) Value of the test statistic d. What is your decision regarding H0? Reject H0 Fail to reject H0 e. What is the p-value? (Round your answer to 4 decimal places.) p-value
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