CNNBC recently reported that the mean annual cost of auto insurance is 968 dollars. Assume the standard deviation is 259 dollars, and the cost is normally distributed. You take a simple random sample of 36 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X - N( 968 259 b. What is the distribution of T? T - N( 968 c. What is the probability that one randomly selected auto insurance is less than $1015? 43.1667 0.5714 d. a simple random sample of 36 auto insurance policies, find the probability that the average cost is less than $1015. e. For part d), is the assumption of normal necessary? O YesO No
CNNBC recently reported that the mean annual cost of auto insurance is 968 dollars. Assume the standard deviation is 259 dollars, and the cost is normally distributed. You take a simple random sample of 36 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X - N( 968 259 b. What is the distribution of T? T - N( 968 c. What is the probability that one randomly selected auto insurance is less than $1015? 43.1667 0.5714 d. a simple random sample of 36 auto insurance policies, find the probability that the average cost is less than $1015. e. For part d), is the assumption of normal necessary? O YesO No
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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please round to 4 decimal places for alll!!!
![CNNBC recently reported that the mean annual cost of auto insurance is 968 dollars. Assume the standard
deviation is 259 dollars, and the cost is normally distributed. You take a simple random sample of 36 auto
insurance policies. Round your answers to 4 decimal places.
a. What is the distribution of X? X - N( 968
259
b. What is the distribution of T? T - N( 968
c. What is the probability that one randomly selected auto insurance is less than $1015?
43.1667
0.5714
d. a simple random sample of 36 auto insurance policies, find the probability that the average cost is
less than $1015.
e. For part d), is the assumption of normal necessary? O YesO No](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6816c62f-17a2-424e-8a3e-cb58c3554c07%2F3d00a282-47ba-4a5d-b90b-c45c288edf4f%2Fp3hzrnb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:CNNBC recently reported that the mean annual cost of auto insurance is 968 dollars. Assume the standard
deviation is 259 dollars, and the cost is normally distributed. You take a simple random sample of 36 auto
insurance policies. Round your answers to 4 decimal places.
a. What is the distribution of X? X - N( 968
259
b. What is the distribution of T? T - N( 968
c. What is the probability that one randomly selected auto insurance is less than $1015?
43.1667
0.5714
d. a simple random sample of 36 auto insurance policies, find the probability that the average cost is
less than $1015.
e. For part d), is the assumption of normal necessary? O YesO No
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