Question 14 Two different formulas of an oxygenated motor fuel are being tested to study their road octane numbers. The variance of road octane...

If i can get help with this question it would be much appreciated, thank you!

Question 14Two different formulas of an oxygenated motor fuel are being tested to study their road octane numbers. The variance of road octane number for formula 1 is Of = 1.5, and for formula 2 it is Oz = 1.2.Two random samples of size /1 = 13 and 2 - 20 are tested, and the mean octane numbers observed are X1 -89.0 fluid ounces and X2 = 92.1 fluid ounces. Assume normality.(a) Test the hypotheses #o: H1 = #2 versus #1: #1 < #2 using @ - 0.05. Round your answer to three decimal places (e.g. 98.765).Zo(b) Calculate a 95% two-sided confidence interval on the mean difference road octane number, *1 2. Round your answer to three decimal places (e.g. 98.765).SH1 - #25(c) What sample size would be required in each population if you wanted to be 95% confident that the error in estimating the difference in mean road octane number is less than 1?m1 = 02 =Round your answer up to the nearest integer.Statistical Tables and Charts