Ellen Sarne has collected the following data on the amount of time (in minutes) taken by
Question: Question 2: Ellen Sarne has collected the following data on the amount of time (in minutes) taken by a tax preparation service to complete client interviews:
| Client Number | Time to Complete Interview (minutes) |
| 1 | 8.0 |
| 2 | 12.0 |
| 3 | 26.0 |
| 4 | 10.0 |
| 5 | 23.0 |
| 6 | 21.0 |
| 7 | 16.0 |
| 8 | 22.0 |
| 9 | 18.0 |
| 10 | 17.0 |
| 11 | 36.0 |
| 12 | 9.0 |
You may assume that this data are a representative sample of all client interview times.
a) [10 points] Compute the sample mean and the sample standard deviation of this sample.
b) [10 points] Construct a 99% confidence interval for the population mean interview time.
c) [10 points] Approximately how large a sample size is required to obtain a 99% confidence interval whose accuracy is +/- 8.0 minutes?
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Solution Format: Word Document
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