The average amount of money spent for lunch per person in the college cafeteria is $6.06 and the standard deviation is $2.31. Suppose that 48 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. a. What is the distribution of X? X - NO b. What is the distribution of x? x ~ N( c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.3599 and $6.5666. d. For the group of 48 patrons, find the probability that the average lunch cost is between $6.3599 and $6.5666. e. For part d), is the assumption that the distribution is normal necessary? Yes No
The average amount of money spent for lunch per person in the college cafeteria is $6.06 and the standard deviation is $2.31. Suppose that 48 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. a. What is the distribution of X? X - NO b. What is the distribution of x? x ~ N( c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.3599 and $6.5666. d. For the group of 48 patrons, find the probability that the average lunch cost is between $6.3599 and $6.5666. e. For part d), is the assumption that the distribution is normal necessary? Yes No
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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![The average amount of money spent for lunch per person in the college cafeteria is $6.06 and the standard
deviation is $2.31. Suppose that 48 randomly selected lunch patrons are observed. Assume the distribution
of money spent is normal, and round all answers to 4 decimal places where possible.
a. What is the distribution of X? X ~ N(
b. What is the distribution of x? x ~ N(
c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is
between $6.3599 and $6.5666.
d. For the group of 48 patrons, find the probability that the average lunch cost is between $6.3599 and
$6.5666.
e. For part d), is the assumption that the distribution is normal necessary? ○ Yes No](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F853f60ba-5190-444a-a771-d6aea360446f%2F95580e8a-8dc6-4c54-a81a-8f0b32aa0054%2Fr7l70ta_processed.png&w=3840&q=75)
Transcribed Image Text:The average amount of money spent for lunch per person in the college cafeteria is $6.06 and the standard
deviation is $2.31. Suppose that 48 randomly selected lunch patrons are observed. Assume the distribution
of money spent is normal, and round all answers to 4 decimal places where possible.
a. What is the distribution of X? X ~ N(
b. What is the distribution of x? x ~ N(
c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is
between $6.3599 and $6.5666.
d. For the group of 48 patrons, find the probability that the average lunch cost is between $6.3599 and
$6.5666.
e. For part d), is the assumption that the distribution is normal necessary? ○ Yes No
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