Traveler’s Insurance would like to investigate if 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. The following data summarizes the sample statistics for the miles driven per month by each gender.

Male Female Sample mean 685 580 Sample size 23 27 Sample standard deviation 147 102

a. Recall that testing for a difference between two population means requires an assumption about population variances. Perform a hypothesis test using a = 0.10 to determine if the population variance for miles driven per month is different for teenage males and teenage females.

b. Verify your results using PHStat.

c. Identify the p-value from part b and interpret the result.

AppendixLO1