The average amount of money spent for lunch per person in the college cafeteria is $6.89 and the standard deviation is $2.6. Suppose that 12 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.What is the distribution of �? � ~ 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 $6.3641 and $7.4494. For the group of 12 patrons, find the probability that the average lunch cost is between $6.3641 and $7.4494. For part d), is the assumption that the distribution is normal necessary? NoYes

The objective of the question is to understand the distribution of the lunch cost for a single…

Answered: The average amount of money spent for…

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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The average amount of money spent for lunch per person in the college cafeteria is $6.89 and the standard deviation is $2.6. Suppose that 12 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.

What is the distribution of �? � ~ 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 $6.3641 and $7.4494.
For the group of 12 patrons, find the probability that the average lunch cost is between $6.3641 and $7.4494.
For part d), is the assumption that the distribution is normal necessary? NoYes

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