The average amount of money spent for lunch per person in the college cafeteria is $6.77 and the standard deviation is $2.51. Suppose that 42 randomly selected lunch patrons are observed. Assume the distribution of
money spent is normal, and round all answers to 4 decimal places where possible.
a. What is the distribution of X? X - N
b. What is the distribution of ? - Nd
c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between
$6.9291 and $7.3228.
d. For the group of 42 patrons, find the probability that the average lunch cost is between $6.9291 and
$7.3228.
e. For part d), is the assumption that the distribution is normal necessary? Yes No
Hint:
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