Question: Question 6 (Mandatory) (5 points) A Type I error is:Question 6 options: The correct decision. A value determined from the test statistic. Rejecting the null
Question 6 (Mandatory)(5 points)
A Type I error is:Question 6 options:
| The correct decision. | |
| A value determined from the test statistic. | |
| Rejecting the null hypothesis when it is true. | |
| Accepting the null hypothesis when it is false. | |
| None of the above. |
Question 7 (Mandatory)(5 points)
Which of the following statements is true about the level of significance, "alpha"?Question 7 options:
| It is a probability. | |
| Reflects the manager's decision about acceptable risk. | |
| It is the likelihood of rejecting the null hypothesis when it is true. | |
| All of the above. | |
| None of the above. |
Question 8 (Mandatory)(5 points)
Always use the z distribution when the sample size is small (that is, n is less than 30).Question 8 options:
| True | |
| False |
Question 9 (Mandatory)(5 points)
The inmates at at all prisons in Oklahoma make a population average ( mu ) of 449 license plates per day. The warden feels that the production at McAlester Prison is too low and suspects that the inmates are wasting a lot of time on the job. He calculates the sample mean ( X-bar ) license plate production for a random sample of nine days ( n = 9 ) at McAlester Prison. The data are shown below:
| 440 | 428 | 452 | 449 | 423 | 427 | 437 | 447 | 430 |
Based on this sample data, calculate a t-score comparing McAlester to all other prisons in the state using the sample mean ( X-bar ) license plate production at McAlester Prison with its sample standard deviation ( s ). You may use QuickStat to calculate the sample mean and sample standard deviation. Use an ordinary calculator to calculate the standard error ( s.e. ) and the t-score because you will show your work in calculating s.e. and the t-score. Use 2 decimal places. (Hint: refer to page 189, Step 3 and Step 4 in the Meier textbook).Question 9 options:
Question 10 (Mandatory)(5 points)
Use the information from Question 9 above. (A) Based on the answer from Question 9, can the warden support the research hypothesis that the inmates of McAlester Prison are less productive in making license plates than the inmates at other prisons at the 0.05 significance level? (B) Justify your answer. [Hint: refer to the t-table in the Meier textbook on page 452 to compare the t-test statistic you computed in Question 9 to the Critical Value for t in Table 3].Question 10 options:
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