We want to know how medical care costs differ between men and women

1. We want to know how medical care costs differ between men and women. Assume medical cost follows a normal distribution. Among the 110 men surveyed, the average medical cost is $7163 with standard deviation $6663. Among the 90 women surveyed, the average medical cost is $6224 with a standard deviation $3277. .

(1) Construct the 95% CI for medical care costs for men and women separately. (4 points)

(2) Conduct a hypothesis testing to test whether the medical costs differ between men and women. Assume the two

populations have unequal variance. (5 points)

(3) What statistical conclusions will you make based on the hypothesis testing? (2 points)