The average amount of money spent for lunch per person in the college cafeteria is $7.36 and the standard deviation is $2.39. Suppose that 15 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $7.44 and $8.14.   For the group of 15 patrons, find the probability that the average lunch cost is between $7.44 and $8.14

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The average amount of money spent for lunch per person in the college cafeteria is $7.36 and the standard deviation is $2.39. Suppose that 15 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. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $7.44 and $8.14.

 

  1. For the group of 15 patrons, find the probability that the average lunch cost is between $7.44 and $8.14.
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