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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:
Suggested Answer: A
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21 comments · newest first
RU
Rutha
2 days ago
But what about the standard deviation?
FR
France
7 days ago
Yeah, the mean of the sample means is the same as the population mean.
SA
Santos
12 days ago
I think the answer is A) 42.
DE
Delmy
17 days ago
It's straightforward if you know the theorem.
RE
Renea
22 days ago
I hope everyone gets this right!
LO
Lorrine
28 days ago
I agree, A is the right choice.
OS
Osvaldo
1 month ago
I was confused at first, but A is clear.
LA
Lajuana
1 month ago
A) 42 makes sense with CLT.
JO
Joni
1 month ago
I feel confident about this question.
EM
Emile
2 months ago
It doesn't change the mean, just the spread.
DO
Dominic
2 months ago
But what about the standard deviation?
KR
Kristal
2 months ago
Yeah, the mean stays the same.
DO
Dong
2 months ago
I think it's A) 42.
GA
Gail
2 months ago
I thought it would be different since we're sampling.
KR
Kristin
2 months ago
Wait, is it really that simple?
JE
Jesusita
3 months ago
Totally agree, it's definitely A) 42.
MA
Marsha
3 months ago
The mean of the sample means is 42!
MA
Marylin
3 months 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.
CA
Carmen
3 months 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.
NE
Nelida
3 months 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?
TO
Tonette
4 months ago
I think the mean of the sample means should be the same as the population mean, so I’m leaning towards A) 42.