(Solution Library) In the below, we used PHStat to find the confidence interval estimate for average weight loss in the 108 data points for fit4fun. (The 108
Question: In the below, we used PHStat to find the confidence interval estimate for average weight loss in the 108 data points for fit4fun. (The 108 data points are treated as a sample rather than a population.)
| Confidence Interval Estimate for the Mean | |
| Data | |
| Sample Standard Deviation | 14.1788 |
| Sample Mean | -10.2685 |
| Sample Size | 108 |
| Confidence Level | 95% |
| Intermediate Calculations | |
| Standard Error of the Mean | 1.364355666 |
| Degrees of Freedom | 107 |
| t Value | 1.982383312 |
| Interval Half Width | 2.704675904 |
| Confidence Interval | |
| Interval Lower Limit | -12.97 |
| Interval Upper Limit | -7.56 |
You can find the confidence interval for the sample of 20 data points you took. First, you need to use the random numbers you selected to determine which of the files you should take. If you have any questions, please email your instructor.
The following interval is obtained:
| Index | Sample Value |
| 7 | -22 |
| 8 | -2 |
| 10 | 8 |
| 11 | 6 |
| 13 | 5 |
| 14 | -16 |
| 18 | -15 |
| 23 | -5 |
| 25 | 11 |
| 26 | -12 |
| 35 | -9 |
| 46 | -8 |
| 48 | -5 |
| 67 | -7 |
| 68 | -9 |
| 78 | -37 |
| 90 | 3 |
| 101 | 0 |
| 103 | -7 |
| 107 | -7 |
| Mean | -6.4 |
| SD | 11.09955 |
| tc | 2.093025 |
| Lower | -11.5948 |
| Upper | -1.20525 |
5)
Please see if you can find the confidence interval for the sample of 20 data points you took. First, you need to use the random numbers you selected to determine which of the files you should take.
Below is a printout of a confidence interval estimate for the proportion of the clients who are female using the 108 data points in the Fit4fun file, treated as a sample.
| Confidence Interval Estimate for the Mean | |
| Data | |
| Sample Size | 108 |
| Number of Successes | 64 |
| Confidence Level | 95% |
| Intermediate Calculations | |
| Sample Proportion | 0.592592593 |
| Z Value | -1.95996398 |
| Standard Error of the Proportion | 0.047280351 |
| Interval Half Width | 0.092667785 |
| Confidence Interval | |
| Interval Lower Limit | 0.499924807 |
| Interval Upper Limit | 0.685260378 |
Please do the same for your sample of 20 points. First, you need to use your 20 random numbers to select the files.
Deliverable: Word Document 
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