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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Related questions
Question

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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