The average amount of money that people spend at Don Mcalds fast food place is $7.3900 with a standard deviation of $1.9800. 47 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 of > x? x - N d. What is the probability that one randomly selected customer will spend more than $7.3268? e. For the 47 customers, find the probability that their average spent is more than $7.3268. f. Find the probability that the randomly selected 47 customers will spend less than $344.3596. g. For part e) and f), is the assumption of normal necessary? ONOO Yes h. The owner of Don Mcalds gives a coupon for a free sundae to the 5% of all groups of 47 people who spend the most money. At least how much must a group of 47 spend in total to get the free sundae? $

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 $7.3900 with a standard
deviation of $1.9800. 47 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 æ? ¤ - N(
c. What is the distribution of > x? )x - N(
d. What is the probability that one randomly selected customer will spend more than $7.3268?
e. For the 47 customers, find the probability that their average spent is more than $7.3268.
f. Find the probability that the randomly selected 47 customers will spend less than $344.3596.
g. For part e) and f), is the assumption of normal necessary? O NoO Yes
h. The owner of Don Mcalds gives a coupon for a free sundae to the 5% of all groups of 47 people who
spend the most money. At least how much must a group of 47 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 $7.3900 with a standard deviation of $1.9800. 47 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 æ? ¤ - N( c. What is the distribution of > x? )x - N( d. What is the probability that one randomly selected customer will spend more than $7.3268? e. For the 47 customers, find the probability that their average spent is more than $7.3268. f. Find the probability that the randomly selected 47 customers will spend less than $344.3596. g. For part e) and f), is the assumption of normal necessary? O NoO Yes h. The owner of Don Mcalds gives a coupon for a free sundae to the 5% of all groups of 47 people who spend the most money. At least how much must a group of 47 spend in total to get the free sundae? $
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