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d. a simple random sample of 10 auto insurance policies, find the probability that the average cost is more than $1100. e. For part d), is the assumption of normal necessary? Yes No

d. a simple random sample of 10 auto insurance policies, find the probability that the average cost is more than $1100. e. For part d), is the assumption of normal necessary? Yes No

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please answer d and e

CNNBC recently reported that the mean annual cost of auto insurance is 1008 dollars. Assume the standard deviation is 242 dollars, and the cost is normally distributed. You take a simple random sample of 10 auto insurance policies. **Round your answers to 4 decimal places.** a. What is the distribution of \( X \)? \( X \sim N \left( 1008, 242 \right) \) b. What is the distribution of \( \bar{x} \)? \( \bar{x} \sim N \left( 1008, 76.5271 \right) \) c. What is the probability that one randomly selected auto insurance is more than \$1100? 0.3520 d. A simple random sample of 10 auto insurance policies: Find the probability that the average cost is more than \$1100. (Answer not provided in the image) e. For part d), is the assumption of normal necessary? ○ Yes ○ No
Transcribed Image Text:CNNBC recently reported that the mean annual cost of auto insurance is 1008 dollars. Assume the standard deviation is 242 dollars, and the cost is normally distributed. You take a simple random sample of 10 auto insurance policies. **Round your answers to 4 decimal places.** a. What is the distribution of \( X \)? \( X \sim N \left( 1008, 242 \right) \) b. What is the distribution of \( \bar{x} \)? \( \bar{x} \sim N \left( 1008, 76.5271 \right) \) c. What is the probability that one randomly selected auto insurance is more than \$1100? 0.3520 d. A simple random sample of 10 auto insurance policies: Find the probability that the average cost is more than \$1100. (Answer not provided in the image) e. For part d), is the assumption of normal necessary? ○ Yes ○ No
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