04 Jun ESTIMATE WITH95% CONFIDENCE THE DIFFERENCE INMEAN DISTANCE DRIVEN BY MALE AND FEMALE DRIVERS
Automobile insurance companies take many factors into consideration when setting rates.These factors include age, marital status, and milesdriven per year. To determine the effect of gender,a random sample of young (under25, with at least2 years of driving experience) male and female driverswas surveyed. Each was asked how many miles heor she had driven in the past year. The distances (inthousands of miles) are stored in stacked format(column1=drivingdistances and column 2 identi-fies the gender where1=male and code 2=female).a. Can we conclude that male and female driversdiffer in the numbers of miles driven per year?b. Estimate with95% confidence the difference inmean distance driven by male and female drivers.c. Check to ensure that the required condition(s)of the techniques used in parts (a) and (b) issatisfied.
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