Automotive engineers have found that the gas mileage in highway driving of a certain sports utility van is normally distributed with a mean of 13.6 kilometers per liter and a standard deviation of 1.5 kilometers per liter. Find the probability that a random sample of 30 sports utility

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Automotive engineers have found that the gas mileage in highway
driving of a certain sports utility van is normally distributed with
a mean of 13.6 kilometers per liter and a standard deviation of
1.5 kilometers per liter.
Find the probability that a random sample of 30 sports utility
vans has a mean exceeding 14 kilometers per liter.
O P(Z < 1.46) = 0.9279
O P (Z > 1.46) = 0.0721
%3D
O P(Z > –1.46) = 0.9279
O P(Z < –1.46) = 0.0721
%3D
Transcribed Image Text:Automotive engineers have found that the gas mileage in highway driving of a certain sports utility van is normally distributed with a mean of 13.6 kilometers per liter and a standard deviation of 1.5 kilometers per liter. Find the probability that a random sample of 30 sports utility vans has a mean exceeding 14 kilometers per liter. O P(Z < 1.46) = 0.9279 O P (Z > 1.46) = 0.0721 %3D O P(Z > –1.46) = 0.9279 O P(Z < –1.46) = 0.0721 %3D
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