A study was conducted in which two types of engines, X and Y, were compared. Gas mileage, in miles per gallon, was measured. Fifty experiments were conducted using engine type X and 75 experiments were done with engine type Y. The gasoline used and other conditions were held constant. The average gas mileage was 36 miles per gallon for engine X and 42 miles per gallon for engine Y. Find a 96% confidence interval on μY − μX, where μX and μY are population mean gas mileages for engines X and Y, respectively. Assume that the population standard deviations are 6 and 8 for engines X and Y, respectively.

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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A study was conducted in which two types of engines, X and Y, were compared. Gas mileage, in miles per gallon, was measured. Fifty experiments were conducted using engine type X and 75 experiments were done with engine type Y. The gasoline used and other conditions were held constant. The average gas mileage was 36 miles per gallon for engine X and 42 miles per gallon for engine Y. Find a 96% confidence interval on μY − μX, where μX and μY are population mean gas mileages for engines X and Y, respectively. Assume that the population standard deviations are 6 and 8 for engines X and Y, respectively. 

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how do you get 2.0537? step-by-step process, please.

Confidence interval
From z tables, P (z~2.0537) = 0.02
20.04 = 2.0537
2
2프
2
Transcribed Image Text:Confidence interval From z tables, P (z~2.0537) = 0.02 20.04 = 2.0537 2 2프 2
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