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 685 570 Sample size 13 16 Sample standard deviation 130 120 Define Population 1 as male drivers and Population 2 as female drivers and use the p-value approach to test this hypothesis with α = 0.05.

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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

570

Sample size

13

16

Sample standard deviation

130

120

Define Population 1 as male drivers and Population 2 as female drivers and use the p-value approach to test this hypothesis with α = 0.05.

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