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Question 14 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 o 1.5 1L.S, and for formula 2 it is 1 o5 = 12. normality (a) Test the hypotheses Ho: μ-μ2 versus H1:HI < μ2 using α Two random samples of size n 1 = 15 and r2-20 are tested, and the mean octane numbers observed are X1 888 fluid ounces and R2 = 5 = fluid ounces and 292.5 fluid ounces. Assume .05. Round your answer to three decimal places (eg. 98.765) Round your answer to three decimal places (e.g. 98.765) (b Calculate a 95% two sided confidence n erval on the mean difference road octane number ї X2- Round your answer to n eede mal 98 55 es e (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? n1-n2 Round your answer up to the nearest integer Statistical Tables and Charts

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