A professor is looking to buy a new car. She would like to know if Domestic cars have shorter life than Import cars. She collected the following sample data,to test her hypothesis:

	Domestic	Import
Sample mean	11.1years	17.4 years
Sample size	14	17
Sample standard deviation	4.5 years	4.9 years

Use the p-value value approach to test this hypothesis with = 0.05. a) Determine the point estimate for the difference between population means. b) Calculate a 95% confidence interval for the difference between population means. c)Perform a test of the hypothesis that the mean for Domestic cars is less than that for the Import cars, at a 95% confidence level. Show all parts of the hypothesis test, including your hypothesis, your test-statistic calculation, your p-value calculation, and your conclusion.