A standardized test is given to a tenth grade class and a seventh grade class. The superintendent believes that the variance in performance for the two grades is different. The sample variance of a...

A standardized test is given to a tenth grade class and a seventh grade class. The superintendent believes that the variance in performance for the two grades is different. The sample variance of a sample of 11 test scores from the tenth grade class is 32.45.The sample variance of a sample of 12 test scores from the seventh grade class is 19.28. Construct the 90% confidence interval for the ratio of the population variances. Round your answers to four decimal places.