he road octane numbers of two different formulations of gasoline are being studied. A random sample of size n, =15 is taken for formulation 1; hile, for formulation 2, the random sample size is na =20- The variance of the octane number for formulation 1 is it is o,2 = 1.2: The mean octane numbers observed are x, = 89.6 and x, = 92.5. Assume normality. What is the upper limit of a 95% two- ded confidence interval on the difference in mean octane number 0,2 = 1.5, and for formulation

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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The road octane numbers of two different formulations of gasoline are being studied. A random sample of size n, = 15 is taken for formulation 1;
while, for formulation 2, the random sample size is na = 20. The variance of the octane number for formulation 1 is a, 2 =1 5, and for formulation
2, it is a,2 =1 2. The mean octane numbers observed are x, = 89.6 and x, = 92.5. Assume normality. What is the upper limit of a 95% two-
sided confidence interval on the difference in mean octane number (u, - H)?
Transcribed Image Text:The road octane numbers of two different formulations of gasoline are being studied. A random sample of size n, = 15 is taken for formulation 1; while, for formulation 2, the random sample size is na = 20. The variance of the octane number for formulation 1 is a, 2 =1 5, and for formulation 2, it is a,2 =1 2. The mean octane numbers observed are x, = 89.6 and x, = 92.5. Assume normality. What is the upper limit of a 95% two- sided confidence interval on the difference in mean octane number (u, - H)?
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