Answered: (d) Considering only offices without a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

PLEASE ONLY RESPOND TO PART D, E, AND F THE REST HAS BEEN SOLVED

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.)

variance standard 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.)

variance standard 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 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 z-scores, both patients had wait times that 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 because that patient is part of a sample with a mean and a 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 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 outliers.

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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