Please help me to understand this problem:

Two different formulas of an oxygenated motor fuel are being bested to study their road octane numbers. The variance of road octane number for formula 1 is 2 _ 2 _ _ _ 0 1 1+5: and for formula 2 it is 02 1-2 - Two Iandom samples of size rll 15 and l"l2 20 are tested, and the mean octane numbers observed are 21 = 88-? uid ounces and 22 = 93-4 fluid ounces. Assume normality. (a) Test the hypolheses Hull-l1 = \"2 versus H 1: ul-ll "'- \"2 using (I = 0-05- Round your answer to three decimal places (e.g. 98.?65). 20 = r reject V Hg. {b} Calculate a 95% two-sided oondence interval on the mean difference road octane number, x1 _ 1'2- Round your answer to three decimal plaoes {e.g. 93.?65). : sol#25 :l (c) What sample size would be required in each population if you wanted to be 95% confident that the error in estimab'ng the differenoe in mean road octane number is less than 1? l\"ll = \"2 = . Round your answer up to die nearest integer