z-scores help! Suppose that the average waiting time for a patient at a physicia
ID: 3151028 • Letter: Z
Question
z-scores help!
Suppose that the average waiting time for a patient at a physician's office is just over 29 minutes. 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 a wait-tracking system and wait times for a sample of patients at offices with a wait-tracking system. Considering only offices without a wait tracking system, what is the z-score for the tenth patient in the sample (wait time = 32 minutes)? If required, round your intermediate calculations and final answer to two decimal places. Considering only offices with a wait tracking system, what is the z-score for the sixth patient in the sample (wait time = 32 minutes)? If required, round your intermediate calculations and final answer to two decimal places. z-score = How does this z-score compare with the z-score you calculated for part ? The input in the Pox below will not be graded, but may be reviewed and considered by your instructor. Based on z-scores, do the data for offices without a wait tracking system contain any outliers?Explanation / Answer
a) From information given, Xi=32, Xbar=29.2,sd=16.48
z=(Xi-Xbar)/sd=(32-29.2)/16.48=0.17
b) Xi=32, Xbar=15.8, sd=9.83
z=(32-15.8)/9.83=1.65
c) The low z score of offices without tracking system indicate existence of outliers.
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