a. What is the distribution of the mean mpg for the sample? b. What is the probability that the mean mpg of the sample will be greater than 32 mpg? c. What is the probability that the mean mpg of the sample will be less than 30 5 mpg?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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In determining automobile mileage ratings, it was found that the mpg in the city for a certain model is normally distributed, with a mean of 31 mpg and a standard deviation of 1.7 mpg. Suppose that the car manufacturer samples seven cars from its assembly line and tests them
for mileage ratings.
a. What is the distribution of the mean mpg for the sample?
b. What is the probability that the mean mpg of the sample will be greater than 32 mpg?
c. What is the probability that the mean mpg of the sample will be less than 30.5 mpg?
End
a. What is the distribution of the mean mpg for the sample? Select the correct choice below and fill in the answer boxes to complete your choice.
(Type integers or decimals rounded to two decimal places as needed.)
O A. The sampling distribution of the mean follows an exponential distribution with the sample mean
OB. The sampling distribution of the mean follows a normal distribution with the sample mean
OC. The sampling distribution of the mean follows a triangular distribution with the sample mean
OD. The sampling distribution of the mean follows a uniform distribution with the sample mean
mpg and the standard deviation of the sample mean mpg
mpg and the standard deviation of the sample mean mpg.
mpg and the standard deviation of the sample mean
mpg and the standard deviation of the sample mean
mpg
mpg.
Transcribed Image Text:In determining automobile mileage ratings, it was found that the mpg in the city for a certain model is normally distributed, with a mean of 31 mpg and a standard deviation of 1.7 mpg. Suppose that the car manufacturer samples seven cars from its assembly line and tests them for mileage ratings. a. What is the distribution of the mean mpg for the sample? b. What is the probability that the mean mpg of the sample will be greater than 32 mpg? c. What is the probability that the mean mpg of the sample will be less than 30.5 mpg? End a. What is the distribution of the mean mpg for the sample? Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals rounded to two decimal places as needed.) O A. The sampling distribution of the mean follows an exponential distribution with the sample mean OB. The sampling distribution of the mean follows a normal distribution with the sample mean OC. The sampling distribution of the mean follows a triangular distribution with the sample mean OD. The sampling distribution of the mean follows a uniform distribution with the sample mean mpg and the standard deviation of the sample mean mpg mpg and the standard deviation of the sample mean mpg. mpg and the standard deviation of the sample mean mpg and the standard deviation of the sample mean mpg mpg.
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