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 16 sports utility vans has a mean between 13.2 and 14.2 kilometers per liter. O P (-1.07

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 16 sports utility
vans has a mean between 13.2 and 14.2 kilometers per liter.
O P(-1.07 < Z < 1.60) = 0.1423 – 0.9452
O P(1.07 < Z < 1.60) = 0.9452 – 0.8577
%D
|
O P(-1.07 < Z < 1.60) = 0.9452 – 0.8577
O P(-1.07 < Z < 1.60) = 0.9452 – 0.1423
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 16 sports utility vans has a mean between 13.2 and 14.2 kilometers per liter. O P(-1.07 < Z < 1.60) = 0.1423 – 0.9452 O P(1.07 < Z < 1.60) = 0.9452 – 0.8577 %D | O P(-1.07 < Z < 1.60) = 0.9452 – 0.8577 O P(-1.07 < Z < 1.60) = 0.9452 – 0.1423
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