Two 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 and for formula 2 it is Two random samples of size and are tested, and the mean octane numbers observed are fluid ounces and fluid ounces. Assume normality. (a) Test the hypotheses H_0: mu_1 = m_2 = m_2 versus H_1:mu_1 < mu_2 versus H_1: mu_1 < mu_2 using alpha = 0.05. (e. g. 98.765). z_0 = H_0.
(b) Calculate a 95% two-sided confidence interval on the mean difference road octane number, X bar_1 - X bar _2. (e. g. 98.765). lessthanorequalto mu_1 - mu_2 lessthanorequalto
(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? N_1 = n_2 =. Round your answer up to the nearest integer.