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Questions
FA25_QTM_100_3 Final Exam- Requires Respondus LockDown Browser
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A hospital administrator hoping to improve wait times decides to estimate the average emergency room waiting time at her hospital. She collects 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. A 95% confidence interval based on this sample is between 125 minutes and 148 minutes. Which of the following statements is true?
Options
A.We are 95% confident that the average waiting time of all patients at this hospital’s emergency room is between 125 and 148 minutes.
B.We are 95% confident that the average waiting time of these 64 emergency room patients is between 125 and 148 minutes.
C.95% of random samples have a sample mean between 125 and 148 minutes.
D.In order to decrease the margin of error of a 95% confidence interval to half of what it is now, we would need to double the sample size.
E.A 90% confidence interval would be wider than the 95% confidence interval.
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Standard Answer
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Approach Analysis
The question asks us to interpret a 95% confidence interval for the population mean based on a simple random sample of n = 64.
Option 1: 'We are 95% confident that the average waiting time of all patients at this hospital’s emergency room is between 125 and 148 minutes.' This correctly reflects the meaning of a 95% confidence......Login to view full explanationLog in for full answers
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