The average amount of money spent for lunch per person in the college cafeteria is $7.11 and the standard deviation is $2.78. Suppose that 18 randomly selected lunch patrons are observed
Assume the distribution of money spent is normal, and round all answers to decimal places where
possible
a. What is the distribution of X? X-NO
b. What is the distribution of ?. -NG
c. For a single randomly selected lunch patron, find the probability that this patron's lunch costis
between $7.3571 and $7.8248.
d. For the group of 18 patrons, find the probability that the average lunch cost is between
$7.3571 and $7.8248.
e. For part d), is the assumption that the distribution is normal necessary? No Yes