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CNNBC recently reported that the mean annual cost of auto insurance is deviation is 219 dollars, and the cost is normally distributed. You take a simple random sample of 8 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 a? - N( c. What is the probability that one randomly selected auto insurance is less than $996? d. a simple random sample of 8 auto insurance policies, find the probability that the average cost is less than $996. e. For part d), is the assumption of normal necessary? Yes No > Next Question

CNNBC recently reported that the mean annual cost of auto insurance is deviation is 219 dollars, and the cost is normally distributed. You take a simple random sample of 8 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 a? - N( c. What is the probability that one randomly selected auto insurance is less than $996? d. a simple random sample of 8 auto insurance policies, find the probability that the average cost is less than $996. e. For part d), is the assumption of normal necessary? Yes No > Next Question

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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CNNBC recently reported that the mean annual cost of auto insurance is 1050 dollars. Assume the standard deviation is 219 dollars, and the cost is normally distributed. You take a simple random sample of 8 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X - NO b. What is the distribution of x? x - N( c. What is the probability that one randomly selected auto insurance is less than $996? d. a simple random sample of 8 auto insurance policies, find the probability that the average cost is less than $996. e. For part d), is the assumption of normal necessary? O Yes No > Next Question
Transcribed Image Text:CNNBC recently reported that the mean annual cost of auto insurance is 1050 dollars. Assume the standard deviation is 219 dollars, and the cost is normally distributed. You take a simple random sample of 8 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X - NO b. What is the distribution of x? x - N( c. What is the probability that one randomly selected auto insurance is less than $996? d. a simple random sample of 8 auto insurance policies, find the probability that the average cost is less than $996. e. For part d), is the assumption of normal necessary? O Yes No > Next Question
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