An examination in communications has been taken by communications majors and also by some students from other majors. It is widely believed that the scores for both groups are normally distributed. A random sample of 24 examinations completed by communications majors and an independent random sample of 27 examinations completed by students from other majors are selected. Among sampled students, the communications majors scored a mean of 523.3 points with a variance of 10,201, and the students from other majors scored a mean of 494.9 points with a variance of 11,750.6. Construct a 90% confidence interval for the ratio of the variance of all scores of communications majors to the variance of all scores of other majors. Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Write your final responses to at least two decimal places. (If necessary, consult a list of formulas.) Lower limit: X ? Upper limit