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(c) What sample size would be required in each popula- tion if you wanted to be 95% confident that the error in estimating the difference in mean road octane number is less than 1?

(c) What sample size would be required in each popula- tion if you wanted to be 95% confident that the error in estimating the difference in mean road octane number is less than 1?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Only solve exercise C)

In the other image, this is the correct answer, (just to check)

c) 95% level of confidence, E = 1, and zes =1.96 국(o.어) 0.5+1.2) =10.37, Use n, - na - 11
Transcribed Image Text:c) 95% level of confidence, E = 1, and zes =1.96 국(o.어) 0.5+1.2) =10.37, Use n, - na - 11
10-7. + Two different formulations of an oxygenated motor fuel are being tested to study their road octane numbers. The variance of road octane number for formulation 1 is of = 1.5, and for formulation, 2 it is o = 1.2. Two random samples of size n = 15 and n = 20 are tested, and the mean road octane num- bers observed are x¡ = 89.6 and x = 92.5. Assume normality. (a) If formulation 2 produces a higher road octane number than formulation 1, the manufacturer would like to detect it. Formulate and test an appropriate hypothesis using a = 0.05. What is the P-value? (b) Explain how the question in part (a) could be answered with a 95% confidence interval on the difference in mean road octane number. (c) What sample size would be required in each popula- tion if you wanted to be 95% confident that the error in estimating the difference in mean road octane number is less than 1?
Transcribed Image Text:10-7. + Two different formulations of an oxygenated motor fuel are being tested to study their road octane numbers. The variance of road octane number for formulation 1 is of = 1.5, and for formulation, 2 it is o = 1.2. Two random samples of size n = 15 and n = 20 are tested, and the mean road octane num- bers observed are x¡ = 89.6 and x = 92.5. Assume normality. (a) If formulation 2 produces a higher road octane number than formulation 1, the manufacturer would like to detect it. Formulate and test an appropriate hypothesis using a = 0.05. What is the P-value? (b) Explain how the question in part (a) could be answered with a 95% confidence interval on the difference in mean road octane number. (c) What sample size would be required in each popula- tion if you wanted to be 95% confident that the error in estimating the difference in mean road octane number is less than 1?
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