A trade magazine routinely checks the drive through service times of fast-food r

Question

A trade magazine routinely checks the drive through service times of fast-food restaurants A 95% confidence interval that results from examining 551 customers in one fast-food chain's drive-through has a lower bound of 171.9 seconds and an upper bound of 175.1 seconds. What does this mean? Choose the correct answer below. A. One can be 95% confident that the mean drive through service time of this fast-food chain is 173.5 seconds. B. One can be 95% confident that the mean drive through service time of this fast-food chain is between 171.9 seconds and 175.1 seconds. C. There is a 95% probability that the mean drive through service time of this fast-food chain is between 171.9 seconds and 175.1 seconds. D. The mean drive-through service time of this fast-food chain is 173.5 seconds 95% of the time.

Explanation / Answer

Given that 95% confidence interval that results from examining 551 customers in one fast-food chain's drive-through has a lower bound of 171.9 seconds and a upper bound of 175.1 seconds .

lower and upper bound of a 95% confidence interval are the values between which the measuring parameter lies with probablity of 95% or 0.95

so answer is (C)there is a 95% probabilty that the mean time drive-through service time of this fast-food chain is between 171.9 seconds and 175.1 seconds

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