Question

Can a normal approximation be used for a sampling distribution of sample means from a population...

Can a normal approximation be used for a sampling distribution of sample means from a population with μ=43 and σ=8, when n=36?

Answer

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Yes, because the mean is greater than 30.
No, because the sample size is more than 30.
Yes, because the sample size is at least 30.
No, because the standard deviation is too small.

Homework Answers

Answer #1

for a sampling distribution of sample means from a population with μ=43 and σ=8, when n=36...Normal approximation can be used... because the sample size is more than 30...Hence the answer is

Yes because the sample size is at least 30...

Justification-if sample size is at least 30...we can approx it as large sample practically..then using CLT approximation is done..

Note-if there is any understanding problem regarding this please feel free to ask via comment box..thank you

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