standard deviation of 1.7 mpg. Suppose that tne car manufacturer samples six 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 35 mpg? c. What is the probability that the mean mpg of the sample will be less than 32.5 mpg? 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.) The sampling distribution of the mean follows a triangular distribution with the sample mean O A. mpg and the standard deviation of the sample mean mpg. The sampling distribution of the mean follows an exponential distribution with the sample mean mpg and the standard deviation of the sample OB. mean mpg. The sampling distribution of the mean follows a uniform distribution with the sample mean OC. mpg. mpg and the standard deviation of the sample mean The sampling distribution of the mean follows a normal distribution with the sample mean OD. mpg. mpg and the standard deviation of the sample mean b. The probability that the mean mpg of the sample will be greater than 35 mpg is (Round to four decimal places as needed.) c. The probability that the mean mpg of the sample will be less than 32.5 mpg is (Round to four decimal places as needed.)

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 automobile mileage ratings, it was found that the mpg in the city for a certain model is normally distributed, with a mean of 33 mpg and a
standard deviation of 1.7 mpg. Suppose that the car manufacturer samples six 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 35 mpg?
c. What is the probability that the mean mpg of the sample will be less than 32.5 mpg?
.....
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.)
The sampling distribution of the mean follows a triangular distribution with the sample mean
A.
mpg and the standard deviation of the sample mean
mpg.
The sampling distribution of the mean follows an exponential distribution with the sample mean
mpg and the standard deviation of the sample
mean
mpg.
The sampling distribution of the mean follows a uniform distribution with the sample mean
C.
mpg.
mpg and the standard deviation of the sample mean
The sampling distribution of the mean follows a normal distribution with the sample mean
D.
mpg.
mpg and the standard deviation of the sample mean
b. The probability that the mean mpg of the sample will be greater than 35 mpg is
(Round to four decimal places as needed.)
c. The probability that the mean mpg of the sample will be less than 32.5 mpg is
(Round to four decimal places as needed.)
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 33 mpg and a standard deviation of 1.7 mpg. Suppose that the car manufacturer samples six 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 35 mpg? c. What is the probability that the mean mpg of the sample will be less than 32.5 mpg? ..... 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.) The sampling distribution of the mean follows a triangular distribution with the sample mean A. mpg and the standard deviation of the sample mean mpg. The sampling distribution of the mean follows an exponential distribution with the sample mean mpg and the standard deviation of the sample mean mpg. The sampling distribution of the mean follows a uniform distribution with the sample mean C. mpg. mpg and the standard deviation of the sample mean The sampling distribution of the mean follows a normal distribution with the sample mean D. mpg. mpg and the standard deviation of the sample mean b. The probability that the mean mpg of the sample will be greater than 35 mpg is (Round to four decimal places as needed.) c. The probability that the mean mpg of the sample will be less than 32.5 mpg is (Round to four decimal places as needed.)
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