solve this...

An insurance company wants to know if the average speed at which men drive cars is higher than that of women drivers. The company took a random sample of 36 cars driven by men on a highway and found the mean speed to be 72 miles per hour with a standard deviation of 3 miles per hour. Another sample of 20 cars driven by women on the same highway gave a mean speed of 63 miles per hour with a standard deviation of 4 miles per hour. Assume that the speeds at which all men and all women drive cars on this highway are both normally distributed with unequal population standard deviations. to] Construct a 90% condence interval for the difference between the mean speeds of cars driven by all men and all women on this highway. (bl Test at the 1% signicance level whether the mean speed of cars driven by all men drivers on this highway is higher than that of cars driven by all women drivers