A hospital administrator hoping to improve wait times decides to estimate the av

Question

A hospital administrator hoping to improve wait times decides to estimate the average emergency room waiting time at her hospital. She decides to collect a simple random sample of 64 patients and determines the time (in minutes) between when they checked in to the ER until they were first seen by a doctor. An approximate 95% confidence interval based on this sample is (128 minutes, 147 minutes). Use this information to answer questions.

Are the following claims supported by the confidence interval? Explain your reasoning.

a. A local newspaper claims that the average waiting time at this ER exceeds 3 hours.

b. The Dean of Medicine at this hospital claims the average wait time is 2.2 hours.

Explanation / Answer

Answer: a) No, the claim is not supported by confidence Interval, because 3hrs = 180minutes, and 180min are out of Confidence Interval

Answer b) Average wait time = 2.2 hrs = 132 min.

Yes, 2.2 hrs are in between Confidence Interval (128,147)

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