In determining automatic mileage ratings, it was found that the mog in the city for a certain model is normally distributed, with a mean of 39 mpg and a standard deviation of 1.6 mpg. Suppose that the car manufacturer samples four cars from its assembly line and test them for mileage ratings.   A. What is the distribution of the mean for the sample? B. What is the probability that the mean mpg of the smaple will be greater than 40 mpg? C. What is the probability that the mean mpg of the sample will be less than 37.5 mpg?

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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In determining automatic mileage ratings, it was found that the mog in the city for a certain model is normally distributed, with a mean of 39 mpg and a standard deviation of 1.6 mpg. Suppose that the car manufacturer samples four cars from its assembly line and test them for mileage ratings.

 

A. What is the distribution of the mean for the sample?

B. What is the probability that the mean mpg of the smaple will be greater than 40 mpg?

C. What is the probability that the mean mpg of the sample will be less than 37.5 mpg?

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