The average amount of money that people spend at Don Mcalds fast food place is $7.0500 with a standard deviation of $1.7600. 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 b. What is the distribution of ? - N c. What is the distribution ofΣ? - N( I d. What is the probability that one randomly selected customer will spend more than $7.6744? e. For the 14 customers, find the probability that their average spent is more than $7.6744. f. Find the probability that the randomly selected 14 customers will spend less than $107.4416. 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 2% 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? $

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The average amount of money that people spend at Don Mcalds fast food place is $7.0500 with a standard
deviation of $1.7600. 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
b. What is the distribution of ? - N
c. What is the distribution ofΣ? - N(
I
d. What is the probability that one randomly selected customer will spend more than $7.6744?
e. For the 14 customers, find the probability that their average spent is more than $7.6744.
f. Find the probability that the randomly selected 14 customers will spend less than $107.4416.
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 2% 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? $
Transcribed Image Text:The average amount of money that people spend at Don Mcalds fast food place is $7.0500 with a standard deviation of $1.7600. 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 b. What is the distribution of ? - N c. What is the distribution ofΣ? - N( I d. What is the probability that one randomly selected customer will spend more than $7.6744? e. For the 14 customers, find the probability that their average spent is more than $7.6744. f. Find the probability that the randomly selected 14 customers will spend less than $107.4416. 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 2% 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? $
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