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The average amount of money that people spend at Don Mcalds fast food place is $7.4300 with a standard deviation of $1.5100. 45 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( 74300 15100 b. What is the distribution of ? ~ N( 74300 0.0506 c. What is the distribution of Σα? Σα - N x? 334.35, 4617.20

The average amount of money that people spend at Don Mcalds fast food place is $7.4300 with a standard deviation of $1.5100. 45 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( 74300 15100 b. What is the distribution of ? ~ N( 74300 0.0506 c. What is the distribution of Σα? Σα - N x? 334.35, 4617.20

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
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The average amount of money that people spend at Don Mcalds fast food place is $7.4300 with a standard deviation of $1.5100. 45 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X ~ N( 74300 15100 b. What is the distribution of x? ~ N( 74300 0.0506 X- c. What is the distribution of Σx? Σx ~ N( 334.35, 4617.20 d. What is the probability that one randomly selected customer will spend more than $7.3424? 0.7190 e. For the 45 customers, find the probability that their average spent is more than $7.3424. f. Find the probability that the randomly selected 45 customers will spend more than $330.4080. g. For part e) and f), is the assumption of normal necessary? Yes No h. The owner of Don Mcalds gives a coupon for a free sundae to the 3% of all groups of 45 people who spend the most money. At least how much must a group of 45 spend in total to get the free sundae? $
Transcribed Image Text:The average amount of money that people spend at Don Mcalds fast food place is $7.4300 with a standard deviation of $1.5100. 45 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X ~ N( 74300 15100 b. What is the distribution of x? ~ N( 74300 0.0506 X- c. What is the distribution of Σx? Σx ~ N( 334.35, 4617.20 d. What is the probability that one randomly selected customer will spend more than $7.3424? 0.7190 e. For the 45 customers, find the probability that their average spent is more than $7.3424. f. Find the probability that the randomly selected 45 customers will spend more than $330.4080. g. For part e) and f), is the assumption of normal necessary? Yes No h. The owner of Don Mcalds gives a coupon for a free sundae to the 3% of all groups of 45 people who spend the most money. At least how much must a group of 45 spend in total to get the free sundae? $
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