Suppose that cars arrive at Burger Kings drive-through at the rate of 20 cars every hour between
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Suppose that cars arrive at Burger King’s drive-through at the rate of 20 cars every hour between 12:00 noon and 1:00 P.M. A random sample of 40 one-hour time periods between 12:00 noon and 1:00 P.M. is selected and has 22.1 as the mean number of cars arriving.
(a) Why is the sampling distribution of x approximately normal?
(b) What is the mean and standard deviation of the sampling distribution of x̄ assuming that µ = 20 and σ = √20?
(c) What is the probability that a simple random sample of 40 one-hour time periods results in a mean of at least 22.1 cars?
Is this result unusual? What might we conclude?
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