The administrator at your local hospital states that on weekends the average wait time for emergency room
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Question:
- The administrator at your local hospital states that on weekends the average wait time for emergency room visits is 10 minutes. Based on discussions you have had with friends who have complained about how long they waited to be seen in the ER over a weekend, you dispute the administrator's claim. You decide to test your hypothesis. Over the course of a few weekends, you record the wait time for 40 randomly selected patients, below. Is there enough evidence in the collected data to support your hypothesis that the average ER wait time exceeds 10 minutes?
- You opt to conduct the test at a 5% level of significance.
Wait time (in minutes): 10.3, 17.6, 10.4, 7.1, 6.2, 7.8, 13.0, 9.8, 10.5, 10.2, 10.3, 11.0, 14.1, 12.0, 10.4, 9.3, 10.5, 6.0, 7.5, 16.7, 12.0, 13.6, 6.2, 9.5, 12.1, 5.7, 10.8, 12.6, 12.6, 10.7, 7.9, 5.4, 10.1, 11.0, 13.0, 10.6, 11.1, 11.7, 13.3, 10.8
State the null and alternative hypotheses. - What is the p-value for the hypothesis test?
- What is your conclusion about the hospital administrators' claim? Write your answer in a sentence or two.
- Interpret the 95% confidence interval for the average wait time for ER visits on weekends at the local hospital.
- Solve the question using JMP software.
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