In: Statistics and Probability
A sample of 39 observations is selected from a normal population. The sample mean is 28, and the population standard deviation is 4. Conduct the following test of hypothesis using the .05 significance level. |
H0 : μ ≤ 26 |
H1 : μ > 26 |
(a) | Is this a one- or two-tailed test? | ||||
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(b) | What is the decision rule? (Round your answer to 2 decimal places.) |
(Click to select)Do not rejectReject H0,when z > |
(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? | ||||
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There is (Click to select)sufficientinsufficient evidence to conclude that the population mean is greater than 26. |
(e) | What is the p-value? (Round your answer to 4 decimal places.) |
p-value |