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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
1. What is the sample proportion of defectives for machine # 1?
a. .023
b. .02
c. .0115
d. .0058
e. .005
2. What is the estimate of the process proportion of defectives for whenever it is under control?
a. .08
b. .06
c. .04
d. .02
e. .01
3. What is the estimate of the standard deviation of the sampling distribution of sample proportions for whenever this process is under control?
a. .016
b. .00016
c. .04
d. .0044
e. .00002
4. What are the control chart lower and upper control limits for an alpha risk of.05?
a. .0128 and.0272
b. .0113 and.0287
c. .013 and.029
d. .0097 and.0303
e. .0068 and.0332
5. For lower and upper control limits of.014 and.026, which machine(s), if any, appear(s) to be out-of-control for process proportion of defectives?
a. machine #3
b. machine #4
c. machines #3 and #4
d. machines #2 and #3
e. none

Sagot :

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