Question

In: Statistics and Probability

You are a nurse manager working at an outpatient stroke rehabilitation clinic in Hamilton, Ontario. You...

You are a nurse manager working at an outpatient stroke rehabilitation clinic in Hamilton, Ontario. You are interested in whether client wait times at your clinic (from arrival time to the time the client is served by the health care professional) differ from those at another outpatient stroke rehabilitation clinic in Oakville, Ontario. The table below provides the client wait times that you have obtained for a random sample of clients from both clinics. You know from previous studies that wait times are approximately normally distributed with equal variance. Use these data to answer the questions below. Assume α=0.05. Show all supporting calculations.

Wait Times (in minutes) Hamilton Clinic

Wait times (in minutes) Oakville Clinic

20.4

20.2

24.2

16.9

15.4

18.5

21.4

17.3

20.2

20.5

18.5

21.5

  1. Can you conclude that the wait times at the two clinics are equal?

  1. What is the 95% confidence interval for the mean difference in wait times for the two clinics?

  1. Does the confidence interval from question b support the conclusion you reached in question a. Explain.

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