You are the newly appointed assistant administrator at a local hospital, and you

Question

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:

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 , Sp, UCL and LCL based on the questionnaire results of 95.5 percent confidence, which is two standard deviations. (Round your answers to 3 decimal places.)

        Sp      UCL      LCL   

Explanation / Answer

Formulas used:

A p-chart considers the portion of a sample that is defective, where each item in the sample is either defective or not. NUMBER OF UNSATISFACTORY MEALS SAMPLE SIZE p = no of unsatisfactory meals/ sample size   December 1 65                         1,000 0.07   December 2 42                         1,000 0.04   December 3 73                         1,000 0.07   December 4 54                         1,000 0.05   December 5 58                         1,000 0.06   December 6 68                         1,000 0.07   December 7 80                         1,000 0.08   December 8 56                         1,000 0.06   December 9 85                         1,000 0.09   December 10 79                         1,000 0.08 total 660                       10,000 average p bar 0.07 For two-sigma control chart (z=2) Sp = sigma p Sp 0.079 (n = 10, for 10 readings) UCL 0.22 LCL -0.38 NOTE: A p value can never be negative, implying that the LCL should never be negative.   If the LCL calculates to be negative then use LCL=0. ANS: p bar 0.07   Sp 0.079   UCL 0.22   LCL 0

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