A group of college students randomly selected 217 student cars and found that they had ages with a mean of 7.89 years and a standard deviation of 3.67 years. They also randomly selected 152 faculty cars and found that they had ages with a mean of 5.99 years and a standard deviation of 3.65 years.
a. Use a 0.05 significance level to test the claim that student cars are older than faculty cars.
b. Construct a 95% confidence interval for the mean μ1 - μ, where μ1, is the mean age of student cars.