registered automobiles, including taxis, by state. The number of registered
automobiles per 1,000 residents follows an approximately normal distribution with
mean m = 514.6 and standard deviation s = 84.6. In the questions below, x =
number of registered automobiles per 1,000 residents.
(a) Find the probability that for a random sample of 4 states the sample mean, x
is between 475 and 525.
(b) Find the probability that for a random sample of 16 states the sample mean,
x is between 475 and 525.
(c) Compare your answers for parts (a) and (b) and give a reason for the
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