Question: Companies X and Y manufacture widgets. The lifetimes for each brand of widget are very nearly normally distributed, with standard deviations of 6 months and 8 months, respectively. lf we select 12 widgets from Company X and 18 widgets from Company Y and find that the standard deviations of their lifetimes are 5 months and 11 months, respectively, can we conclude at the .01 level of significance that the variability of brand X widgets is significantly less than that of brand Y widgets?