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 37 mpg and a standard deviation of 1.9 mpg Suppose that the car manufacturer samples six cals from Its assembly line and tests them for mileage ratings a. What is the distnbution of the mean mpg for the sample? b. What is the probability that the mean mpg of the sample will be greater than 39 mpg? c. What is the probability that the mean mpg of the sample will be less than 35.5 mpg?

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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 37 mpg and a standard deviation of 1.9 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 39 mpg?
c. What is the probability that the mean mpg of the sample will be less than 35.5 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.)
mpg and the standard deviation of the sample mean
mpg.
O A. The sampling distribution of the mean follows a triangular distribution with the sample mean
mpg
O B. The sampling distribution of the mean follows a normal distribution with the sample mean
mpg and the standard deviation of the sample mean
mpg.
mpg and the standard deviation of the sample mean
O C. The sampling distribution of the mean follows a uniform distribution with the sample mean
mpg
mpg and the standard deviation of the sample mean
O D. The sampling distribution of the mean follows an exponential distribution with the sample mean
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 37 mpg and a standard deviation of 1.9 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 39 mpg? c. What is the probability that the mean mpg of the sample will be less than 35.5 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.) mpg and the standard deviation of the sample mean mpg. O A. The sampling distribution of the mean follows a triangular distribution with the sample mean mpg O B. The sampling distribution of the mean follows a normal distribution with the sample mean mpg and the standard deviation of the sample mean mpg. mpg and the standard deviation of the sample mean O C. The sampling distribution of the mean follows a uniform distribution with the sample mean mpg mpg and the standard deviation of the sample mean O D. The sampling distribution of the mean follows an exponential distribution with the sample mean
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