Question: The guidelines were establish by observing the maximum weight that random samples of men and women can safely lift from the floor to knuckle height. When lifting at the rate of 1 lift per minute, males lifted a mean maximum weight of 30.25 kg with a standard deviation of 8.56 kg, whereas the mean and standard deviation for females were 19.79 kg and 3.11 kg, respectively.

a. Assuming the sample consisted of 60 males and 60 females, construct a 90% confidence interval for the ratio of the variances of the maximum weights that can safety be lifted by males and females.

b. What assumptions must be satisfied to ensure the validity of the interval estimate of part a?