Question

The average amount of money spent for lunch per person in the college cafeteria is $6.31 and the standard deviation is $2.57. Suppose that 13 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 $6.0708 and $6.5772.
- For the group of 13 patrons, find the probability that the average lunch cost is between $6.0708 and $6.5772.
- For part d), is the assumption that the distribution is normal necessary? YesNo

Answer #1

(e) Yes.

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