Return to the waiting times given for the physician’s office in Problem 20.

a. Considering only offices without a wait-tracking system, what is the z-score for the 10th patient in the sample (wait time 537 minutes)?

b. Considering only offices with a wait-tracking system, what is the z-score for the 6th patient in the sample (wait time 537 minutes)? How does this z-score compare with the z-score you calculated for part a?

c. Based on z-scores, do the data for offices without a wait-tracking system contain any outliers? Based on z-scores, do the data for offices without a wait-tracking system contain any outliers?

Problem 20

Suppose that the average waiting time for a patient at a physician’s office is just over 29 minutes. To address the issue of long patient wait times, some physicians’ offices are using wait-tracking systems to notify patients of expected wait times. Patients can adjust their arrival times based on this information and spend less time in waiting rooms. The following data show wait times (in minutes) for a sample of patients at offices that do not have a wait-tracking system and wait times for a sample of patients at offices with such systems.

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Without Wait-Tracking System 24 25 67 17 With Wait-Tracking System 31 11 14 20 18 31 12 44 37 12 9 23 13 16 12 37 15