Question

In: Statistics and Probability

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

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.

Solutions

Expert Solution

The standard error of the mean is mathematically given by:

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

-----------------------------------------------------------------------------------------------------------------

For,

Hence,

----------------------------------------------------------------------------------------------------------------

For,

Hence,

-----------------------------------------------------------------------------------------------------------------

For,

Hence,

-----------------------------------------------------------------------------------------------------------------

For,

Hence,

-----------------------------------------------------------------------------------------------------------------

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.

orchestra answered 1 year ago
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