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d. For the group of 45 patrons, find the probability that the average 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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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NEED PART D, thanks

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: We have given that

n=45,μ=5.74,σ=2.52

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