Question: A quality analyst wants to construct a control chart for determining whether four machines, all producing the same product, are in control with regard to
A quality analyst wants to construct a control chart for determining whether four machines, all producing the same product, are in control with regard to a particular quality attribute. Accordingly, she inspected 1,000 units of output from each machine in random samples, with the following results:
| Machine | Total Defectives | |
| #1 | 23 | |
| #2 | 15 | |
| #3 | 29 | |
| #4 | 13 | |
What is the sample proportion of defectives for machine #1?
| .023 | ||
| .02 | ||
| .0058 | ||
| .005 | ||
| .0115 |
What is the estimate of the process proportion of defectives?
| .06 | ||
| .08 | ||
| .02 | ||
| .04 | ||
| .01 |
What is the estimate of the standard deviation of the sampling distribution of sample proportions for this process?
| .0044 | ||
| .016 | ||
| .00002 | ||
| .04 | ||
| .00016 |
What are the control chart upper and lower control limits for an alpha risk of .05?
| .0332 and .0068 | ||
| .0272 and .0128 | ||
| .0303 and .0097 | ||
| .029 and .013 | ||
| .0287 and .0113 |
For upper and lower control limits of .026 and .014, which machine(s), if any, appear(s) to be out-of-control for process proportion of defectives?
| machine #3 | ||
| machine #4 | ||
| machines #3 and #4 | ||
| machines #2 and #3 | ||
| none of the machines |
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