The average waiting time for a patient at an EL Paso physician's office is just over 29 minutes, well above the national average of 21 minutes. in fact, el Paso has the longest physician's office waiting times in the United States (El Paso times, January 8, 2012). in order to address the issue of long patient wait times, some physician's 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 (minutes) for a sample of patients at offices that do not have an office tracking system and wait times for a sample of patients at offices with an office tracking system.
Without Wait With Wait
Tracking System Tracking System
24 ............................................. 31
67 ............................................. 11
17 ............................................. 14
20 ............................................. 18
31 ............................................. 12
44 ............................................. 37
12 ............................................. 9
23 ............................................. 13
16 ............................................. 12
37 ............................................. 15
a. What are the mean and median patient wait times for offices with a wait tracking system? What are the mean and median patient wait times for offices without a wait tracking system?
b. What are the variance and standard deviation of patient wait times for offices with a wait tracking system? What are the variance and standard deviation of patient wait times for visits to offices without a wait tracking system?
c. Do offices with a wait tracking system have shorter patient wait times than offices without a wait tracking system? explain.
d. Considering only offices without a wait tracking system, what is the z-score for the tenth patient in the sample?
e. Considering only offices with a wait tracking system, what is the z-score for the sixth patient in the sample? how does this z-score compare with the z-score you calculated for part (d)?
f. 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 with a wait tracking system contain any outliers?