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Question
Traveler's Insurance would like to test the hypothesis that the average number of miles driven per month by a male teenage driver exceeds the average number of miles driven per month by a female teenage driver by more than 50 miles. The following data summarizes the sample statistics for the miles driven per month by each gender. Assume that the population variances are equal.| Male | Female | |
| Sample mean | 685 | 580 |
| Sample size | 13 | 16 |
| Sample standard deviation | 130 | 120 |
Define Population 1 as male drivers and Population 2 as female drivers. Construct a 90% confidence interval for the difference in population mean and interpret the results.
Answer
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