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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? $

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? $

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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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