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Houston North Hospital is trying to improve its image by providing a positive ex

ID: 447698 • Letter: H

Question

Houston North Hospital is trying to improve its image by providing a positive experience for its patients and their relatives. Part of the "image" program involves providing tasty, inviting patient meals that are also healthful. A questionnaire accompanies each meal served, asking the patient, amount other things, whether he or she is satisfied or unsatisfied with meal. A 50-patient sample of the survey reslts over the past 7 days yielded the following data: The control limits to include 99.73% of the random variation in meal satisfaction are: UCL_p = (enter your response as a number between 0 and 1 rounded to three decimal places).

Explanation / Answer

To solve this problem, P chart is prepared.

Day

No. of Unsatisfied Patients

Sample Size

Proportion (P)

1

22

50

0.44

2

20

50

0.4

3

10

50

0.2

4

15

50

0.3

5

10

50

0.2

6

26

50

0.52

7

15

50

0.3

total =

118

350

(Average) P’ = Total no. of Dissatisfaction / Total sample

P’ = 118/350 = .3371

n’ (average no. of sample per week) = Total no. of sample / total no of week = 350/7 = 50

Upper Control Limit (UCLp) = P’ + 3*((P’)*(1-P’)/n’)^.5

UCLp = .3371 + 3*((.3371*(1-.3371)/50)^.5

UCLp = .537

Day

No. of Unsatisfied Patients

Sample Size

Proportion (P)

1

22

50

0.44

2

20

50

0.4

3

10

50

0.2

4

15

50

0.3

5

10

50

0.2

6

26

50

0.52

7

15

50

0.3

total =

118

350

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