Question

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 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 (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.

Without Wait- Tracking System	With Wait-Tracking System
24	31
67	11
17	14
20	19
31	12
44	37
12	9
23	13
16	12
37	15

(a)	Considering only offices without a wait-tracking system, what is the z-score for the 10th patient in the sample (wait time = 37 minutes)?
	If required, round your intermediate calculations and final answer to two decimal places.
	z-score =
(b)	Considering only offices with a wait-tracking system, what is the z-score for the 6th patient in the sample (wait time = 37 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 (a)?
	The input in the box below will not be graded, but may be reviewed and considered by your instructor.
(c)	Based on z-scores, do the data for offices without a wait-tracking system contain any outliers?
	- Select your answer -YesNoItem 4
	Based on z-scores, do the data for offices with a wait-tracking system contain any outliers?
	- Select your answer -YesNo

Please explain how. Thank you!

Answer 1

a) Z score = 0.476

b) Z score = 2.118

c) There are no outliers in either of the datasets of we go by definition of 3 std. dev. on the mean for determining the outlier. All the observations are with 3 std. dev. from the mean in the respective datasets.