CNNBC recently reported that the mean annual cost of auto insurance is 1015 dollars. Assume the standard deviation is 244 dollars, and the cost is normally distributed. You take a simple random sample of 36 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X - N( b. What is the distribution of ¤? ¤ - N( c. What is the probability that one randomly selected auto insurance is more than $1040?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
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CNNBC recently reported that the mean annual cost of auto insurance is 1015 dollars. Assume the standard
deviation is 244 dollars, and the cost is normally distributed. You take a simple random sample of 36 auto
insurance policies. Round your answers to 4 decimal places.
a. What is the distribution of X? X - N(
b. What is the distribution of z? a - N(
c. What is the probability that one randomly selected auto insurance is more than $1040?
d. a simple random sample of 36 auto insurance policies, find the probability that the average cost is more
than $1040.
e. For part d), is the assumption of normal necessary? O NoO Yes
Transcribed Image Text:CNNBC recently reported that the mean annual cost of auto insurance is 1015 dollars. Assume the standard deviation is 244 dollars, and the cost is normally distributed. You take a simple random sample of 36 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X - N( b. What is the distribution of z? a - N( c. What is the probability that one randomly selected auto insurance is more than $1040? d. a simple random sample of 36 auto insurance policies, find the probability that the average cost is more than $1040. e. For part d), is the assumption of normal necessary? O NoO Yes
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