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Control Charts Analysis for Hospital Calls and Soup Meals - Prof. Kim Melton, Assignments of Business Statistics

Instructions for analyzing control charts based on data collected from a hospital unit. The first part of the document deals with the analysis of the number of calls received at the nursing station, while the second part focuses on the number of patients selecting soup and sandwiches as their meal option. Instructions for calculating control limits for both control charts.

Typology: Assignments

Pre 2010

Uploaded on 08/04/2009

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BUSA 3110 Name: KEY
Fall 2005
Last 10 point in-class
This assignment is closed book and closed neighbor; you may use one page of handwritten notes
and your calculator.
1. When a patient at a hospital pushes the call button, the patient (or the patient’s family)
expects a quick response. The nursing station on one unit of a large hospital decided to
investigate the number of times they were asked to respond to calls during a single shift.
Data were collected for the same shift over a 24 day period. The data and an associated Run
Chart are provided below.
Day Calls Day Calls
1 63 13 47
2 60 14 49
3 65 15 71
4 61 16 64
5 60 17 57
6 61 18 65
7 59 19 56
8 49 20 68
9 62 21 44
10 61 22 61
11 57 23 71
12 50 24 51
Total Calls = 1412
a) What type control chart would be appropriate to analyze the situation? Justify your answer.
They are counting and plotting “number of calls” but a single patient could call multiple
times (the issue is not if a patient calls or not). If the number of patients remains constant an
c chart would be appropriate.
b) Determine the center line and control limits for the chart. Show your work; then write your
answers in the space provided.
LCL = 35.822 833.58
24
1412
c==
CL = 58.833
UCL = 81.844 833.583833.58LimitsControl ±=
pf2

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BUSA 3110 Name: KEY Fall 2005 Last 10 point in-class

This assignment is closed book and closed neighbor; you may use one page of handwritten notes and your calculator.

  1. When a patient at a hospital pushes the call button, the patient (or the patient’s family) expects a quick response. The nursing station on one unit of a large hospital decided to investigate the number of times they were asked to respond to calls during a single shift. Data were collected for the same shift over a 24 day period. The data and an associated Run Chart are provided below.

Day Calls Day Calls 1 63 13 47 2 60 14 49 3 65 15 71 4 61 16 64 5 60 17 57 6 61 18 65 7 59 19 56 8 49 20 68 9 62 21 44 10 61 22 61 11 57 23 71 12 50 24 51

Total Calls = 1412

a) What type control chart would be appropriate to analyze the situation? Justify your answer.

They are counting and plotting “number of calls” but a single patient could call multiple times (the issue is not if a patient calls or not). If the number of patients remains constant an c chart would be appropriate.

b) Determine the center line and control limits for the chart. Show your work; then write your answers in the space provided.

LCL = 35.822 58. 833 24

c = =

CL = 58.

UCL = 81.844 Control Limits= 58. 833 ± 3 58. 833

  1. For lunch each day, patients have a choice between “soup & sandwich” or “meat and two vegetables.” A 25 patient unit collected the following data about the number of patients selecting the soup/sandwich option.

Day Soup Day Soup 1 12 16 7 2 8 17 8 3 10 18 8 4 11 19 7 5 6 20 10 6 6 21 11 7 8 22 8 8 9 23 9 9 7 24 8 10 11 25 7 11 12 26 5 12 11 27 6 13 9 28 11 14 5 29 9 15 10 30 9 Total Soup meals served = 258

a) Determine the type control chart that would be appropriate and justify your answer.

We are counting the number of patients selecting soup/sandwich and opposed to meat/vegetable. Therefore, patients have a choice between two meals (i.e., two possible choices). The same number of meals (25) are served each day. Therefore, an np chart would be appropriate.

b) Determine the center line and control limits for the chart. Show your work; then write your answers in the space provided. LCL = 1.474. 344 ( 30 )( 25 )

  1. 6 p 30

np = = = =

CL = 8.

UCL = 15.726 Control Limits= 8. 6 ± 3 8. 6 ( 1 −. 344 )

BONUS: Suppose that data for the number of soup/sandwich meals served per day was correct, but that the number of patients on the unit varied from day-to-day. During this 30 day period, the unit served a total of 600 meals. Determine the center line and control limits for a day when 20 meals were served.

LCL = .098. 43 600

p = =

CL =.

UCL =.

Control Limits. 43 3