average amount of money spent for lunch per person in the college cafeteria is $5.74 and the standard tion is $2.52. Suppose that 45 randomly selected lunch patrons are observed. Assume the distribution oney spent is normal, and round all answers to 4 decimal places where possible. What is the distribution of X? X - N What is the distribution of ? N For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $5.7665 and $6.3244. fin Lilik SE 7665.d

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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Section: Chapter Questions
Problem 1P
Question

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The average amount of money spent for lunch per person in the college cafeteria is $5.74 and the standard
deviation is $2.52. Suppose that 45 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 ? - N
c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is
between $5.7665 and $6.3244.
d. For the group of 45 patrons, find the probability that the average lunch cost is between $5.7665 and
$6.3244.
e. For part d), is the assumption that the distribution is normal necessary? Yes No
Transcribed Image Text:The average amount of money spent for lunch per person in the college cafeteria is $5.74 and the standard deviation is $2.52. Suppose that 45 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 ? - N c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $5.7665 and $6.3244. d. For the group of 45 patrons, find the probability that the average lunch cost is between $5.7665 and $6.3244. e. For part d), is the assumption that the distribution is normal necessary? Yes No
Expert Solution
Step 1: Given that

Population mean=5.74

Population standard deviation=2.52

Sample size n=45

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please, need solution  for part

D. For the group of 45 patrons, find the probability that the average lunch cost is between $5.7665 and $6.3244. 

 

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