question archive A new president at Big State University has made student satisfaction with the enrollment and registration process one of her highest priorities

A new president at Big State University has made student satisfaction with the enrollment and registration process one of her highest priorities

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A new president at Big State University has made student satisfaction with the enrollment and registration process one of her highest priorities. During one registration period, 10 students every hour are sampled and asked about their satisfaction. Twelve different groups of students were sampled. The table below shows the number in each group who had at least one complaint.

Sample

1 2 3 4 5 6 7 8 9 10 11 12   

Complaining Students

0 2 1 0 0 1 3 0 1 2 2 0

Develop lower and upper control limits for the proportion of students with complaints.

A. LCL = -0.18 and UCL = 0.385

B. LCL = 0.1 and UCL = 0.385

C. LCL = 0 and UCL = 0.385

D. LCL = -0.18 and UCL = 0.1

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Answer:

p=12/120=0.1

n=10

so ucl=p +3sqrt(p(1-p)/n)=0.385

clc=minimum of (0, p -3sqrt(p(1-p)/n))=0

so answer is C. LCL = 0 and UCL = 0.385

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