1. A Cornell University study of wage differentials between men and women reported that one of the reasons wages for men are higher than for women is that the men tend to have more years of work experience than women.A random sample of 25 men showed an average of 14.9 years of experience, with a standard deviation of 5.2 years.A sample of 49 women showed an average of 10.3 years of experience, with a standard deviation of 2.8 years.

(a) Construct a 95% confidence interval to estimate the average number of years of experience for all men.

(b) Construct a 95% confidence interval to estimate the average number of years of experience for all women.