viation is 295 dollars, and the cost is normally distributed. You take a simple random sample of 9 auto urance 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 less than $1079? d. a simple random sample of 9 auto insurance policies, find the probability that the average cost is less than $1079. e. For part d), is the assumption of normal necessary? O No Yes > Next Question

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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CNNBC recently reported that the mean annual cost of auto insurance is 1015 dollars. Assume the standard
deviation is 295 dollars, and the cost is normally distributed. You take a simple random sample of 9 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 ? NO
c. What is the probability that one randomly selected auto insurance is less than $1079?
d. a simple random sample of 9 auto insurance policies, find the probability that the average cost is less
than $1079.
e. For part d), is the assumption of normal necessary? O No Yes
> Next Question
84 F
Mostly cloudy
OLDO:
#
Transcribed Image Text:CNNBC recently reported that the mean annual cost of auto insurance is 1015 dollars. Assume the standard deviation is 295 dollars, and the cost is normally distributed. You take a simple random sample of 9 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 ? NO c. What is the probability that one randomly selected auto insurance is less than $1079? d. a simple random sample of 9 auto insurance policies, find the probability that the average cost is less than $1079. e. For part d), is the assumption of normal necessary? O No Yes > Next Question 84 F Mostly cloudy OLDO: #
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