The average amount of money spent for lunch per person in the college cafeteria is $6.81 and the standard deviation is $2.32. Suppose that 11 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 $7.0108 and $7.6106. ___?For the group of 11 patrons, find the probability that the average lunch cost is between $7.0108 and $7.6106. ___?For part d), is the assumption that the distribution is normal necessary? Yes or No?

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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The average amount of money spent for lunch per person in the college cafeteria is $6.81 and the standard deviation is $2.32. Suppose that 11 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 $7.0108 and $7.6106. ___?
For the group of 11 patrons, find the probability that the average lunch cost is between $7.0108 and $7.6106. ___?
For part d), is the assumption that the distribution is normal necessary? Yes or No?

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Step 1

As per our guidelines, we are allowed to answer first three sub-parts only. Thanks

The average amount of money spent for lunch per person in the college cafeteria = $μ =$ $6.81

standard deviation = $σ$ = $2.32

1) What is the distribution of X?

the distribution of X is Normal :

X $~ N (6.81, 2.32)$

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