The average amount of money spent for lunch per person in the college cafeteria is $6.06 and the standard deviation is $2.82. Suppose that 41 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 X? X ~ N( , )What is the distribution of x¯? x¯ ~ N( , )For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.32 and $6.63. For the group of 41 patrons, find the probability that the average lunch cost is between $6.32 and $6.63. For part d), is the assumption that the distribution is normal necessary? YesNo Show Intro/InstructionsThe average amount of money spent for lunch per person in the college cafeteria is $6.06 and the standard deviation is$2.82. Suppose that 41 randomly selected lunch patrons are observed. Assume the distribution of money spent isnormal, 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 a? a - N(c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.32 and$6.63.d. For the group of 41 patrons, find the probability that the average lunch cost is between $6.32 and $6.63.e. For part d), is the assumption that the distribution is normal necessary? O Yes O NoGet help: Written Example

Answered: Show Intro/Instructions The average…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

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The average amount of money spent for lunch per person in the college cafeteria is $6.06 and the standard deviation is $2.82. Suppose that 41 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 X? X ~ N( , )
What is the distribution of x¯? x¯ ~ N( , )
For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.32 and $6.63.
For the group of 41 patrons, find the probability that the average lunch cost is between $6.32 and $6.63.
For part d), is the assumption that the distribution is normal necessary? YesNo

Show Intro/Instructions
The average amount of money spent for lunch per person in the college cafeteria is $6.06 and the standard deviation is
$2.82. Suppose that 41 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 a? a - N(
c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.32 and
$6.63.
d. For the group of 41 patrons, find the probability that the average lunch cost is between $6.32 and $6.63.
e. For part d), is the assumption that the distribution is normal necessary? O Yes O No
Get help: Written Example

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