A survey of 30 emergency room patients found that the average waiting time was 1

Question

A survey of 30 emergency room patients found that the average waiting time was 174.3 minutes. A 95% confidence interval for was found to be (152.4,196.2). The following is an incorrect interpretation of the interval: “We are 95% confident that the waiting time of all emergency room patients sampled is between 152.4 minutes and 196.2 minutes.

(a) In the interpretation above, one word is missing. What is the missing word?(b) There is also one word in the interpretation that does not belong there, and it needs to be removed to make the interpretation correct. What word needs to be removed?

Explanation / Answer

a) The missing word is "average". Its not only waiting time, its average waiting time.

b) The word need to be removed is "sampled". Since we are making inference for the entire population.

Hence,

The correct interpretation would be:

We are 95% confident that the average waiting time of all emergency room patients is between 152.4 minutes and 196.2 minutes

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