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d. a simple random sample of 40 auto insurance policies, find the probability that the average cost is more than $1078. e. For part d), is the assumption of normal necessary? O YesO No

d. a simple random sample of 40 auto insurance policies, find the probability that the average cost is more than $1078. e. For part d), is the assumption of normal necessary? O YesO No

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please help woth part d and e

CNNBC recently reported that the mean annual cost of auto insurance is 1042 dollars. Assume the standard deviation is 280 dollars, and the cost is normally distributed. You take a simple random sample of 40 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X - N( 1042 V, 280 b. What is the distribution of æ? ¤ - N( 1042 44.272 / c. What is the probability that one randomly selected auto insurance is more than $1078? 0.4428 d. a simple random sample of 40 auto insurance policies, find the probability that the average cost is more than $1078. e. For part d), is the assumption of normal necessary? O YesO No
Transcribed Image Text:CNNBC recently reported that the mean annual cost of auto insurance is 1042 dollars. Assume the standard deviation is 280 dollars, and the cost is normally distributed. You take a simple random sample of 40 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X - N( 1042 V, 280 b. What is the distribution of æ? ¤ - N( 1042 44.272 / c. What is the probability that one randomly selected auto insurance is more than $1078? 0.4428 d. a simple random sample of 40 auto insurance policies, find the probability that the average cost is more than $1078. e. For part d), is the assumption of normal necessary? O YesO No
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