Question: A sample of 37 observations is selected from a normal population. The sample mean is 29, and the population standard deviation is 5. Conduct the
A sample of 37 observations is selected from a normal population. The sample mean is 29, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.05 significance level.
| A sample of 37 observations is selected from a normal population. The sample mean is 29, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.05 significance level. |
| H0 : 26 |
| H1 : > 26 |
| a. | Is this a one- or two-tailed test? | ||
|
| b. | What is the decision rule? (Round your answer to 3 decimal places.) |
| (Click to select)Do not rejectRejectH0, 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? | ||
|
| There is (Click to select)sufficientinsufficientevidence 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 |
|
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