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 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 Tracking System With Wait 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 (in min) for offices with a wait tracking system? mean minmedian min What are the mean and median patient wait times (in min) for offices without a wait tracking system? mean minmedian min (b) What are the variance and standard deviation (in min) of patient wait times for offices with a wait tracking system? (Round your answers to one decimal place.) variancestandard deviation min What are the variance and standard deviation (in min) of patient wait times for visits to offices without a wait tracking system? (Round your answers to one decimal place.) variancestandard deviation min (c) Do offices with a wait tracking system have shorter patient wait times than offices without a wait tracking system? Explain. Offices with a wait tracking system have ---Select--- shorter longer patient wait times than offices without a wait tracking system. (d) Considering only offices without a wait tracking system, what is the z-score for the tenth patient in the sample? (Round your answer to two decimal places.) (e) Considering only offices with a wait tracking system, what is the z-score for the sixth patient in the sample? (Round your answer to two decimal places.) How does this z-score compare with the z-score you calculated for part (d)? As indicated by the ---Select--- negative positive z-scores, both patients had wait times that ---Select--- are lower than exceeded the means of their respective samples. Even though the patients had the same wait time, the z-score for the sixth patient in the sample who visited an office with a wait tracking system is much ---Select--- smaller larger because that patient is part of a sample with a ---Select--- smaller larger mean and a ---Select--- smaller larger standard deviation. (f) Based on z-scores, do the data for offices without a wait tracking system contain any outliers? The data for offices without a wait tracking system contains ---Select--- no one two outliers. Based on z-scores, do the data for offices with a wait tracking system contain any outliers? The data for offices with a wait tracking system contains ---Select--- no one two outliers.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
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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 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
Tracking System
With Wait
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 (in min) for offices with a wait tracking system?
mean minmedian min
What are the mean and median patient wait times (in min) for offices without a wait tracking system?
mean minmedian min
(b)
What are the variance and standard deviation (in min) of patient wait times for offices with a wait tracking system? (Round your answers to one decimal place.)
variancestandard deviation min
What are the variance and standard deviation (in min) of patient wait times for visits to offices without a wait tracking system? (Round your answers to one decimal place.)
variancestandard deviation min
(c)
Do offices with a wait tracking system have shorter patient wait times than offices without a wait tracking system? Explain.
Offices with a wait tracking system have  ---Select--- shorter longer patient wait times than offices without a wait tracking system.
(d)
Considering only offices without a wait tracking system, what is the z-score for the tenth patient in the sample? (Round your answer to two decimal places.)
 
(e)
Considering only offices with a wait tracking system, what is the z-score for the sixth patient in the sample? (Round your answer to two decimal places.)
 
How does this z-score compare with the z-score you calculated for part (d)?
As indicated by the  ---Select--- negative positive z-scores, both patients had wait times that  ---Select--- are lower than exceeded the means of their respective samples. Even though the patients had the same wait time, the z-score for the sixth patient in the sample who visited an office with a wait tracking system is much  ---Select--- smaller larger because that patient is part of a sample with a  ---Select--- smaller larger mean and a  ---Select--- smaller larger standard deviation.
(f)
Based on z-scores, do the data for offices without a wait tracking system contain any outliers?
The data for offices without a wait tracking system contains  ---Select--- no one two outliers.
Based on z-scores, do the data for offices with a wait tracking system contain any outliers?
The data for offices with a wait tracking system contains  ---Select--- no one two outliers.
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