Which one of the following statements relating to quality is True?
A) Sampling procedures based on measurement by variables should be used when quality specifications are complex.
B) A distribution of sample means has more variance than the process distribution itself.
C) The distribution of sample means can be approximated by the normal distribution.
D) Sampling is a better approach than 100 percent inspection when the cost of accepting a defective item is very high.

Question

Quizplus · Accepted Answer

The central limit theorem states that the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution. This makes option C correct. Option A is incorrect because sampling procedures based on measurement by attributes should be used when quality specifications are complex, not those based on measurement by variables. Option B is incorrect because a distribution of sample means has less variance than the process distribution itself due to the central limit theorem. Option D is incorrect because sampling can also result in accepting defective items, and a cost-effective analysis would need to be done before deciding on the best approach.

Which One of the Following Statements Relating to Quality Is