CNNBC recently reported that the mean annual cost of auto insurance is 977 dollars. Assume the standard deviation is 202 dollars, and the cost is normally distributed. You take a simple random sample of 13 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 ? N c. What is the probability that one randomly selected auto insurance is more than $900?

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
icon
Related questions
Question
CNNBC recently reported that the mean annual cost of auto insurance is 977 dollars. Assume the standard
deviation is 202 dollars, and the cost is normally distributed. You take a simple random sample of 13 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 ? ē - N(
c. What is the probability that one randomly selected auto insurance is more than $900?
d. a simple random sample of 13 auto insurance policies, find the probability that the average cost is
more than $900.
e. For part d), is the assumption of normal necessary? O YesO No
Transcribed Image Text:CNNBC recently reported that the mean annual cost of auto insurance is 977 dollars. Assume the standard deviation is 202 dollars, and the cost is normally distributed. You take a simple random sample of 13 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 ? ē - N( c. What is the probability that one randomly selected auto insurance is more than $900? d. a simple random sample of 13 auto insurance policies, find the probability that the average cost is more than $900. e. For part d), is the assumption of normal necessary? O YesO No
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill