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ASQ CSSBB Exam - Topic 2 Question 129 Discussion

A population of size 1,000,000 has mean 42 and standard deviation 6. Sixty random samples, each of size 15 are selected. According to the Central Limit Theorem the distribution of the sixty sample means has a mean of approximately:
A) 42
B) 42/6
C) 42/15
D) 42/ 15
E) none of the above

ASQ CSSBB Exam - Topic 2 Question 129 Discussion

Actual exam question for ASQ's CSSBB exam
Question #: 129
Topic #: 2
[All CSSBB Questions]

A population of size 1,000,000 has mean 42 and standard deviation 6. Sixty random samples, each of size 15 are selected. According to the Central Limit Theorem the distribution of the sixty sample means has a mean of approximately:

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Suggested Answer: A

by Edison at Jun 29, 2026, 07:26 AM

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Marylin
2 hours ago
I’m a bit confused about the options. I thought the mean of the sample means was just the population mean, but I’m not sure why they have other options.
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Carmen
5 days ago
I practiced a similar question, and I remember that the Central Limit Theorem states the mean of the sample means equals the population mean. So, A) seems right.
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Nelida
10 days ago
I’m not entirely sure, but I remember something about the mean of sample means being the population mean. Does that mean A is correct?
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Tonette
16 days ago
I think the mean of the sample means should be the same as the population mean, so I’m leaning towards A) 42.
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