# 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

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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.

1. What is the distribution of XX? XX ~ N(,)
2. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
3. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between \$6.32 and \$7.16.
4. For the group of 16 patrons, find the probability that the average lunch cost is between \$6.32 and \$7.16.
5. For part d), is the assumption that the distribution is normal necessary? NoYes
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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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