Question

Asked Nov 14, 2019

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The average amount of money spent for lunch per person in the college cafeteria is $7.37 and the standard deviation is $2.85. Suppose that 16 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal placeswhere 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 $6.32 and $7.16.
- For the group of 16 patrons, find the probability that the average lunch cost is between $6.32 and $7.16.
- For part d), is the assumption that the distribution is normal necessary? NoYes

Step 1

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Step 2

It is given that the mean and standard deviation are $7.37 and $2.85, respectively.

a)

Here, the distribution of money spent is normal. Th...

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