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A sample of 41 observations is selected from a normal population. The sample mean is 26, and the population standard deviation is 4. Conduct the following test of hypothesis using the 0.05 significance level. |
| H0: μ ≤ 25 |
| H1: μ > 25 |
| a. | Is this a one- or two-tailed test? | |||
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| b. | What is the decision rule?(Round your answer to 3 decimal places.) |
| 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 regardingH0? | |||
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| There is evidence to conclude that the population mean is greater than 25. |
| e. | What is thep-value?(Round your answer to 4 decimal places.) |
| p-value |
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