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Exam CMQ-OE topic 1 question 184 discussion

Actual exam question from ASQ's CMQ-OE
Question #: 184
Topic #: 1
[All CMQ-OE Questions]

A shop floor technician has recorded the following data:
Machine 1 has an average of 12.6 inches for 10 samples.
Machine 2 has an average of 12.5 inches for 20 samples.
The samples taken from these two machines can be compared in which of the following ways, if any?

  • A. They are statistically the same parts.
  • B. They are statistically different parts.
  • C. They cannot be compared because they have used different sample sizes.
  • D. They cannot be compared without knowing the standard deviations of the samples.
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Suggested Answer: C 🗳️
by 4f400d2 at March 27, 2025, 9:41 p.m.

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4f400d2
3 weeks, 1 day ago
Selected Answer: D
The solution suggests Answer 'C.' While different sample sizes can affect the statistical power of the comparison, it is still possible to compare means. However, knowing the standard deviations is essential for understanding if the means are statistically different. There could be many reasons why the technician cannot take the same number of samples, especially if the sample size is as high as 20. The Quality Engineer can compare the data and compute the standard deviation of the samples. The correct answer in my opinion is D.
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