ASQ Exam CSSBB Topic 7 Question 109 Discussion

Actual exam question for ASQ's CSSBB exam

Question #: 109
Topic #: 7

Samples of size n=36 are randomly selected from a population with mean = 125 and variance 12. Find the variance of the distribution of sample means.

A.333

B.577

D3.464

E12

Show Suggested Answer

Suggested Answer: B

by Reta at Mar 18, 2025, 11:02 AM

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Gabriele

2 months ago

Wow, this question really has me scratching my head! I'm no statistician, but I'm pretty sure the answer involves some kind of magic formula. Maybe we should ask the population to take a vote on the correct answer. Or we could just roll a 36-sided die and see what comes up. Either way, I'm going with the answer that makes me laugh the most!

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Andra

2 months ago

Alright, time to put on my statistics hat! If the population has a mean of 125 and a variance of 12, and we're taking samples of size 36, the variance of the sample means should be 12/36 = 0.333. I'm feeling confident about A).

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Arlie

17 days ago

Great job on the statistics, it's always satisfying to figure out these calculations.

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Brett

22 days ago

So the variance of the sample means is 0.333, thanks for the explanation!

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Stephen

1 months ago

That makes sense, I agree with option A) .333.

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Kaitlyn

1 months ago

I think you're right, the variance of the distribution of sample means should be 0.333.

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Floyd

2 months ago

Okay, let me think this through. The population has a mean of 125 and a variance of 12, and we're taking samples of size 36. Hmm, I think the variance of the sample means should be 12/36 = 0.333. I'll go with A).

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Kiley

20 days ago

Yes, the variance of the distribution of sample means is indeed 0.333. Good job!

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Felicia

2 months ago

I agree, A) .333 seems like the correct choice based on the calculation.

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Ressie

2 months ago

I think the variance of the sample means should be 12/36 = 0.333. I'll go with A).

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Gayla

3 months ago

Aha, this is a classic statistics problem! The variance of the sample means is the population variance divided by the sample size. So, the answer is definitely A) 0.333. Easy peasy!

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Nathalie

1 months ago

So, the variance of the distribution of sample means is 0.333.

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Tanja

1 months ago

Yes, you're right! It's the population variance divided by the sample size.

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Marica

2 months ago

I think the answer is A) .333

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Lashunda

3 months ago

Hmm, let's see. If the population has a mean of 125 and a variance of 12, and we're taking samples of size 36, the variance of the sample means should be the population variance divided by the sample size, right? That would make it 12/36 = 0.333. I'm going with A).

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