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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, and for formula 2 it is o, = 1.2. Two random samples of size nį = 15and n2 = 20 are tested, and the mean octane numbers observed are T = 89.5 fluid ounces and T2 = 93.1 fluid ounces. Assume normality. (a) Test the hypotheses Ho : µ1 = µ2 versus H1 :H < µ2 using a = 0.05. Round your answer to three decimal places (e.g. 98.765). Zo = i v Ho- (b) Calculate a 95% two-sided confidence interval on the mean difference road octane number, – X2. Round your answer to three decimal places (e.g. 98.765). < H1 - H2 < i (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? nį = n2 = i Round your answer up to the nearest integer.

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, and for formula 2 it is o, = 1.2. Two random samples of size nį = 15and n2 = 20 are tested, and the mean octane numbers observed are T = 89.5 fluid ounces and T2 = 93.1 fluid ounces. Assume normality. (a) Test the hypotheses Ho : µ1 = µ2 versus H1 :H < µ2 using a = 0.05. Round your answer to three decimal places (e.g. 98.765). Zo = i v Ho- (b) Calculate a 95% two-sided confidence interval on the mean difference road octane number, – X2. Round your answer to three decimal places (e.g. 98.765). < H1 - H2 < i (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? nį = n2 = i Round your answer up to the nearest integer.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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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, and for formula 2 it is o, = 1.2. Two random samples of size n1 15and n2 20 are tested, and the mean octane numbers observed are x 89.5 fluid ounces and X2 93.1 fluid ounces. Assume normality. (a) Test the hypotheses Ho : µ1 = H2 versus Hị :µ1 < µz using a = 0.05. Round your answer to three decimal places (e.g. 98.765). Zo = Но- (b) Calculate a 95% two-sided confidence interval on the mean difference road octane number, x1 – X2. Round your answer to three decimal places (e.g. 98.765). < H1 - H2 < (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? ni = n2 = i . Round your answer up to the nearest integer.
Transcribed Image Text: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, and for formula 2 it is o, = 1.2. Two random samples of size n1 15and n2 20 are tested, and the mean octane numbers observed are x 89.5 fluid ounces and X2 93.1 fluid ounces. Assume normality. (a) Test the hypotheses Ho : µ1 = H2 versus Hị :µ1 < µz using a = 0.05. Round your answer to three decimal places (e.g. 98.765). Zo = Но- (b) Calculate a 95% two-sided confidence interval on the mean difference road octane number, x1 – X2. Round your answer to three decimal places (e.g. 98.765). < H1 - H2 < (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? ni = n2 = i . Round your answer up to the nearest integer.
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