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.

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 $6.0708 and $6.5772.
4. For the group of 13 patrons, find the probability that the average lunch cost is between $6.0708 and $6.5772.
5. For part d), is the assumption that the distribution is normal necessary? YesNo

Answer 1

(e) Yes.

Dear student , please like it.

Thanks,