Two different formulas of an oxygenated motor fuel are being tested to study their road octane numbers. The variance of road octar number for formula 1 is o? the mean octane numbers observed are Ij = 89.5 fluid ounces and = 93.1 fluid ounces. Assume normality. = 1.5, and for formula 2 it is o = 1.2. Two random samples of size n¡ = 15and n2 = 20 are tested, a (a) Test the hypotheses Ho : H1 = µ2 versus H1 : Hi < Hz 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, I¡ – x2. Round your answer to thre decimal places (e.g. 98.765).

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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,
the mean octane numbers observed are = 89.5 fluid ounces and I2 = 93.1 fluid ounces. Assume normality.
= 1.2. Two random samples of size n1 =
15and n2 = 20 are tested, and
(a) Test the hypotheses Ho : H1
H2 versus H1 : µ1 < µ2 using a = 0.05. Round your answer to three decimal places (e.g. 98.765).
%|
Zo
v Ho.
(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, the mean octane numbers observed are = 89.5 fluid ounces and I2 = 93.1 fluid ounces. Assume normality. = 1.2. Two random samples of size n1 = 15and n2 = 20 are tested, and (a) Test the hypotheses Ho : H1 H2 versus H1 : µ1 < µ2 using a = 0.05. Round your answer to three decimal places (e.g. 98.765). %| Zo v Ho. (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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