CNNBC recently reported that the mean annual cost of auto insurance is 1002 dollars. Assume the standard deviation is 269 dollars, and the cost is normally distributed. You take a simple random sample of 18 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 ? ī - N( c. What is the probability that one randomly selected auto insurance is more than $998?

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CNNBC recently reported that the mean annual cost of auto insurance is 1002 dollars. Assume the standard
deviation is 269 dollars, and the cost is normally distributed. You take a simple random sample of 18 auto
insurance policies. Round your answers to 4 decimal places.
Recta
a. What is the distribution of X? X - N(
b. What is the distribution of ? T - N(
c. What is the probability that one randomly selected auto insurance is more than $998?
d. a simple random sample of 18 auto insurance policies, find the probability that the average cost is
more than $998.
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 1002 dollars. Assume the standard deviation is 269 dollars, and the cost is normally distributed. You take a simple random sample of 18 auto insurance policies. Round your answers to 4 decimal places. Recta a. What is the distribution of X? X - N( b. What is the distribution of ? T - N( c. What is the probability that one randomly selected auto insurance is more than $998? d. a simple random sample of 18 auto insurance policies, find the probability that the average cost is more than $998. e. For part d), is the assumption of normal necessary? O NoO Yes
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