\"A quality control manager monitors the diameter of the product being manufactu
ID: 454135 • Letter: #
Question
"A quality control manager monitors the diameter of the product being manufactured. To check whether the product conforms to specifications, the manager uses statistical process control and sets both a sample size and upper and lower control limits. If the manager maintains the same control limits, but increases the sample size, the proportion of the ____________________ that fall outside of the control limits is expected to ___________."
sample means; increase
sample means; decrease
sample means; remain constant
defective products; increase
defective products; decrease
A.sample means; increase
B.sample means; decrease
C.sample means; remain constant
D.defective products; increase
E.defective products; decrease
Explanation / Answer
Answer E the proportion of the defective products that fall outside of the control limits is expected to decrease, because most of the points would fall within the control limits.
When we increase the sample size, the control limits should be closest to the sample Means and would allow more easily detect small variations, so you can take action to eliminate causes of defects and maintain production within control.
When we increase the sample size control process becomes more accurate. However, the thing is not as simple as increasing the sample size indefinitely. When the sample size gets larger, it increases the cost, the time and inconvenience of fieldwork. So perfect solutions do not exist in this dimension and you always have to handle variables that point to different directions. The goal is to get a reasonable sample size in three ways: pointing to a reasonable level of accuracy, with reasonable assurance and reasonable resources.
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