The average amount of money spent for lunch per person in the college cafeteria is $6.89 and the standard deviation is $2.53. 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.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 $7.0842 and $7.3228. For the group of 45 patrons, find the probability that the average lunch cost is between $7.0842 and $7.3228. ( )For part d), is the assumption that the distribution is normal necessary? NoYes

As per our guidelines we are suppose to answer three sub-parts. Given,sample…

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

See similar textbooks

Related questions

Question

The average amount of money spent for lunch per person in the college cafeteria is $6.89 and the standard deviation is $2.53. 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.

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 $7.0842 and $7.3228.
For the group of 45 patrons, find the probability that the average lunch cost is between $7.0842 and $7.3228. ( )
For part d), is the assumption that the distribution is normal necessary? NoYes

Expert Solution