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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.
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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.
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 = =
UCL = 81.844 Control Limits= 58. 833 ± 3 58. 833
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 )
np = = = =
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 = =
Control Limits. 43 3