The average amount of money spent for lunch per person in the college cafeteria is $7.25 and the standard deviation is $2.53. Suppose that 40 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 XX? XX ~ N(,)What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $7.67 and $8.04. For the group of 40 patrons, find the probability that the average lunch cost is between $7.67 and $8.04. For part d), is the assumption that the distribution is normal necessary? YesNo

Given Mean=7.25 Standard deviations=2.53 n=40

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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 $7.25 and the standard deviation is $2.53. Suppose that 40 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 XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $7.67 and $8.04.
For the group of 40 patrons, find the probability that the average lunch cost is between $7.67 and $8.04.
For part d), is the assumption that the distribution is normal necessary? YesNo

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