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 \sim N(\, \, \, ) $b. What is the distribution of $ \bar{x} $? $ \bar{x} \sim 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? $ \circ $ Yes $ \circ $ No

Mean=5.74, Standard deviation=2.52, Sample size=45Note: According to bartelbyquestion answer…

The average amount of money spent for lunch per person in the college cafeteria is 55.74 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-N 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.

The average amount of money spent for lunch per person in the college cafeteria is 55.74 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-N 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.

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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