The average amount of money that people spend at Don Mcalds fast food place is $7.6400 with a standard deviation of $1.6800. 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( b. What is the distribution of I? E - N( Σ: c. What is the distribution of 2? r - N( d. What is the probability that one randomly selected customer will spend more than $8.2100? e. For the 16 customers, find the probability that their average spent is less than $8.2100. f. Find the probability that the randomly selected 16 customers will spend more than $131.3600. 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 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? $

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 $7.6400
with a standard deviation of $1.6800. 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(
b. What is the distribution of T? T - N(
c. What is the distribution of r? > x - N(
d. What is the probability that one randomly selected customer will spend more than
$8.2100?
e. For the 16 customers, find the probability that their average spent is less than
$8.2100.
f. Find the probability that the randomly selected 16 customers will spend more than
$131.3600.
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 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 $7.6400 with a standard deviation of $1.6800. 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( b. What is the distribution of T? T - N( c. What is the distribution of r? > x - N( d. What is the probability that one randomly selected customer will spend more than $8.2100? e. For the 16 customers, find the probability that their average spent is less than $8.2100. f. Find the probability that the randomly selected 16 customers will spend more than $131.3600. 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 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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