d. a simple random sample of 40 auto insurance policies, find the probability that the average cost is less than $1013. e. For part d), is the assumption of normal necessary? No Yes
d. a simple random sample of 40 auto insurance policies, find the probability that the average cost is less than $1013. e. For part d), is the assumption of normal necessary? No Yes
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 19SGR
Related questions
Question
![CNNBC recently reported that the mean annual cost of auto insurance is 999 dollars. Assume the standard
deviation is 200 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-N999
b. What is the distribution of a? - N 999
c. What is the probability that one randomly selected auto insurance is less than $1013? 0.5279
d. a simple random sample of 40 auto insurance policies, find the probability that the average cost is less
than $1013.
e. For part d), is the assumption of normal necessary? O No Yes
> Next Question
200
31.6221](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F16eaad05-c857-4f7c-933f-0b1cc2121bed%2F4d766a3d-71bc-46d0-8c43-1d20f13cb862%2Fjhqslh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:CNNBC recently reported that the mean annual cost of auto insurance is 999 dollars. Assume the standard
deviation is 200 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-N999
b. What is the distribution of a? - N 999
c. What is the probability that one randomly selected auto insurance is less than $1013? 0.5279
d. a simple random sample of 40 auto insurance policies, find the probability that the average cost is less
than $1013.
e. For part d), is the assumption of normal necessary? O No Yes
> Next Question
200
31.6221
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