According to the June 2004 Readers Digest article Only in America, the average amount that a 17-year-old

Question:

According to the June 2004 Readers’ Digest article

“Only in America,” the average amount that a 17-year-old spends on his or her high school prom is $638. Assume that the amounts spent are normally distributed with a standard deviation of

$175.

a. Find the probability that the mean cost to attend a high school prom for 36 randomly selected high school 17-year-olds is between

$550 and $700.

b. Find the probability that the mean cost to attend a high school prom for 36 randomly selected high school 17-year-olds is greater than

$750.

c. Do you think the assumption of normality is reasonable? Explain.

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