You are the newly appointed assistant administrator at a local hospital, and your first project is to investigate the quality of the patient meals put out by the food-service department. You conducted a 10-day survey by submitting a simple questionnaire to the 400 patients with each meal, asking that they simply check off that the meal was either satisfactory or unsatisfactory. For simplicity in this problem, assume that the response was 1,000 returned questionnaires from the 1,200 meals each day. The results are as follows: NUMBER OF UNSATISFACTORY MEALSSAMPLE SIZEDecember 1651,000December 2421,000December 3731,000December 4541,000December 5581,000December 6681,000December 7801,000December 8561,000December 9851,000December 10791,000 66010,000 a. Determine the p bar, Std deviationp, UCL, and LCL based on the questionnaire results, using a confidence interval of 95.5 percent, which is two standard deviations. (Round your answers to 4 decimal places.)P Bar: Standard Deviation: UCL: LCL: b. What comments can you make about the process?A) The process is in statistical control.B) The process is out of statistical control. A or B:

a) p bar = Total number of unsatisfactory meals in all the samples / (Sample size x Number of samples) Total number of unsatisfactory meals in all the samples = 65 + 42 + 73 + 54 + 58 + 68 + 80 + 56 + 85 + 79 = 660 Sample size = n = 1000 Number of samples = 10 Therefore, p bar =6601000×10 =66010000 = 0.066 Sp= ( p bar x ( 1 - p bar))n= ( 0.066 x ( 1 - 0.066)) 1000= ((0.066 x 0.934) 1000= 0.000061644=0.00756= 0.008 (Rounding off to 3 decimal places)For 95.5 percent confidence, Z = Number of standard deviations = 2 UCL = p bar + (Sp x Z) = 0.066 + (0.008 x 2) = 0.066 + 0.016 = 0.082 LCL = p bar - (Sp x Z) = 0.066 - (0.008 x 2) = 0.066 - 0.016 = 0.0496

Answered: Determine the p bar, Std deviationp,…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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You are the newly appointed assistant administrator at a local hospital, and your first project is to investigate the quality of the patient meals put out by the food-service department. You conducted a 10-day survey by submitting a simple questionnaire to the 400 patients with each meal, asking that they simply check off that the meal was either satisfactory or unsatisfactory. For simplicity in this problem, assume that the response was 1,000 returned questionnaires from the 1,200 meals each day. The results are as follows:

	NUMBER OF UNSATISFACTORY MEALS	SAMPLE SIZE
December 1	65	1,000
December 2	42	1,000
December 3	73	1,000
December 4	54	1,000
December 5	58	1,000
December 6	68	1,000
December 7	80	1,000
December 8	56	1,000
December 9	85	1,000
December 10	79	1,000
	660	10,000

a. Determine the p bar, Std deviationp, UCL, and LCL based on the questionnaire results, using a confidence interval of 95.5 percent, which is two standard deviations. (Round your answers to 4 decimal places.)
P Bar:
Standard Deviation:
UCL:
LCL:
b. What comments can you make about the process?
A) The process is in statistical control.
B) The process is out of statistical control.
A or B:

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