An ABC News report stated that the mean distance that commuters in the United States travel each
Question:
An ABC News report stated that the mean distance that commuters in the United States travel each way to work is 16 miles. Assume the standard deviation is 8 miles.
A sample of 75 commuters is chosen.
a. What is the probability that the sample mean commute distance is greater than 13 miles?
b. What is the probability that the sample mean commute distance is between 18 and 20 miles?
c. Find the 10th percentile of the sample mean.
d. Would it be unusual for the sample mean distance to be greater than 19 miles?
e. Can you tell whether it would be unusual for an individual to have a commute distance greater than 19 miles?
Explain.
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