Farmers Insurance Group would like to test the hypothesis that the average number of miles driven per month by a male driver exceeds the average number of miles driven per month by a female 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 and use the critical value approach to test this hypothesis with alpha = 0.05.