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The average amount of money that people spend at Don Mcalds fast food place is $7.5500 with a standard deviation of $1.5100. 14 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 7.550C 1.510C b. What is the distribution of æ? ã - N( 7.5500V 0.4036V c. What is the distribution of x? x - N( 105.70, 5.6499) d. What is the probability that one randomly selected customer will spend less than $7.7746? 0.9788 e. For the 14 customers, find the probability that their average spent is more than $7.7746. 0.8970 f. Find the probability that the randomly selected 14 customers will spend less than $108.8444. 0.7065

The average amount of money that people spend at Don Mcalds fast food place is $7.5500 with a standard deviation of $1.5100. 14 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 7.550C 1.510C b. What is the distribution of æ? ã - N( 7.5500V 0.4036V c. What is the distribution of x? x - N( 105.70, 5.6499) d. What is the probability that one randomly selected customer will spend less than $7.7746? 0.9788 e. For the 14 customers, find the probability that their average spent is more than $7.7746. 0.8970 f. Find the probability that the randomly selected 14 customers will spend less than $108.8444. 0.7065

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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The average amount of money that people spend at Don Mcalds fast food place is $7.5500 with a standard deviation of $1.5100. 14 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( 7.550C 1.5100 b. What is the distribution of æ? a - N( 7.550C 0.4036 c. What is the distribution of > x? ) x - N( 105.70, 5.6499 d. What is the probability that one randomly selected customer will spend less than $7.7746? 0.9788 e. For the 14 customers, find the probability that their average spent is more than $7.7746. 0.8970 f. Find the probability that the randomly selected 14 customers will spend less than $108.8444. 0.7065 g. For part e) and f), is the assumption of normal necessary? Yes No o h. The owner of Don Mcalds gives a coupon for a free sundae to the 4% of all groups of 14 people who spend the most money. At least how much must a group of 14 spend in total to get the free sundae? $ 0.2248
Transcribed Image Text:The average amount of money that people spend at Don Mcalds fast food place is $7.5500 with a standard deviation of $1.5100. 14 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( 7.550C 1.5100 b. What is the distribution of æ? a - N( 7.550C 0.4036 c. What is the distribution of > x? ) x - N( 105.70, 5.6499 d. What is the probability that one randomly selected customer will spend less than $7.7746? 0.9788 e. For the 14 customers, find the probability that their average spent is more than $7.7746. 0.8970 f. Find the probability that the randomly selected 14 customers will spend less than $108.8444. 0.7065 g. For part e) and f), is the assumption of normal necessary? Yes No o h. The owner of Don Mcalds gives a coupon for a free sundae to the 4% of all groups of 14 people who spend the most money. At least how much must a group of 14 spend in total to get the free sundae? $ 0.2248
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