A pizza chain records how long it takes customers to receive their delivery orders. Suppose the distribution of these delivery times is strongly skewed to the left with a mean of
30
3030 minutes and a standard deviation of
10
1010 minutes. Management plans on calculating the mean delivery time from a random sample of
25
2525 orders. We can assume independence between orders in the sample.
What is the probability that the mean delivery time from the sample of
25
2525 orders
x
ˉ
x
ˉ
x, with, \bar, on top is farther than
2
22 minutes from the population mean?