Question: EMARGENCY Quality Analyst wants to construct a control chart for determining whether four machines, all producing the same product, are under control with regard to

EMARGENCY

Quality Analyst wants to construct a control chart for determining whether four machines, all producing the same product, are under control with regard to a particular quality attribute. Accordingly, he inspected 1000 units of output from each machine random samples, with the following result

machine total Defectives

#1 23

#2 15

#3 29

#4 13

1. What is the estimate of the process proportion of defectives?

2. What is the estimate of standard diviation of the sampling distribution of sample proportions for this process?

3. What are the control chart upper and lower control limits for an alpha risk of .05?

4. For upper and lower control limits of .026 and .014, which machine, if any, appear(s) to be out-of-control for process proportion of defectives?

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