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The average amount of money that people spend at Don Mcalds fast food place is $7.4500 with a standard deviation of $1.8300. 16 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( 7.4500 1.8300 b. What is the distribution of æ? ¤ - N( 7.4500 0.4575 c. What is the distribution of > x? ) x - N( 119.2000 v d. What is the probability that one randomly selected customer will spend more than $7.4338? 7.3200 e. For the 16 customers, find the probability that their average spent is more than $7.4338. f. Find the probability that the randomly selected 16 customers will spend less than $118.9408. g. For part e) and f), is the assumption of normal necessary? O YesO No o h. The owner of Don Mcalds gives a coupon for a free sundae to the 2% of all groups of 16 people who spend the most money. At least how much must a group of 16 spend in total to get the free sundae? $

The average amount of money that people spend at Don Mcalds fast food place is $7.4500 with a standard deviation of $1.8300. 16 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( 7.4500 1.8300 b. What is the distribution of æ? ¤ - N( 7.4500 0.4575 c. What is the distribution of > x? ) x - N( 119.2000 v d. What is the probability that one randomly selected customer will spend more than $7.4338? 7.3200 e. For the 16 customers, find the probability that their average spent is more than $7.4338. f. Find the probability that the randomly selected 16 customers will spend less than $118.9408. g. For part e) and f), is the assumption of normal necessary? O YesO No o h. The owner of Don Mcalds gives a coupon for a free sundae to the 2% of all groups of 16 people who spend the most money. At least how much must a group of 16 spend in total to get the free sundae? $

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 $7.4500 with a standard deviation of $1.8300. 16 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( 7.4500 1.8300 b. What is the distribution of x? x - N( 7.4500 0.4575 c. What is the distribution of > x? ) x - N( 119.2000 v 7.3200 d. What is the probability that one randomly selected customer will spend more than $7.4338? e. For the 16 customers, find the probability that their average spent is more than $7.4338. f. Find the probability that the randomly selected 16 customers will spend less than $118.9408. 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 2% of all groups of 16 people who spend the most money. At least how much must a group of 16 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 $7.4500 with a standard deviation of $1.8300. 16 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( 7.4500 1.8300 b. What is the distribution of x? x - N( 7.4500 0.4575 c. What is the distribution of > x? ) x - N( 119.2000 v 7.3200 d. What is the probability that one randomly selected customer will spend more than $7.4338? e. For the 16 customers, find the probability that their average spent is more than $7.4338. f. Find the probability that the randomly selected 16 customers will spend less than $118.9408. 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 2% of all groups of 16 people who spend the most money. At least how much must a group of 16 spend in total to get the free sundae? $
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Given information-

Population mean, µ = $7.4500

Population standard deviation, σ = $1.8300

Sample size n = 16

Let, X be the random variable is normally distributed.

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