Question

Which of the following samples would have the lowest standard error of the mean?

		n = 9 from a population with σ = 60.
		n = 9 from a population with σ = 100.
		n = 49 from a population with σ = 60.
		n= 49 from a population with σ = 100.

Answer 1

The standard error of the mean is mathematically given by:

So, now we can compare all the given parameter and corresponding sample size

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For,

Hence,

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For,

Hence,

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For,

Hence,

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For,

Hence,

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Hence, we can see that sample size, n = 49 from a population with σ = 60 has a very low standard error of the mean with 8.57 as compared to others.