Statistics Question help please
Statistics Question help please
I have two question here. Please just list the answers.
| The following information is available. |
| H0: μ ≥ 220 |
| H1: μ < 220 |
|
A sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following test of hypothesis using the .025 significance level. |
| a. | Is this a one- or two-tailed test? | |||
|
| b. |
What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) |
| H0whenz< |
| c. |
What is the value of the test statistic?(Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.) |
| Value of the test statistic |
| d. | What is your decision regardingH0? | |||
|
| e. | What is thep-value?(Round your answer to 4 decimal places.) |
| p-value |
HERE IS QUESTION NUMBER 2
| Given the following hypotheses: |
| H0: μ ≤ 10 |
| H1: μ > 10 |
|
A random sample of 10 observations is selected from a normal population. The sample mean was 12 and the sample standard deviation 3. Using the .05 significance level: |
| a. | State the decision rule.(Round your answer to 3 decimal places.) |
| RejectH0ift> |
| b. |
Compute the value of the test statistic.(Round your answer to 3 decimal places.) |
| Value of the test statistic |
| c. | What is your decision regarding the null hypothesis? |
| H0. There isevidence to conclude that the population mean is greater than 10. |
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