The standard error of a normally-distributed random variable is a different calc

Question

The standard error of a normally-distributed random variable is a different calculation than the standard deviation of a normally-distributed random variable, since it captures the variance of a large number of samples drawn from the same population. Numerically, what is the change in the formula from the standard deviation to the standard error?

Select one:

a. The standard error is calculated by subtracting n from the standard deviation.

b. The standard error is calculated by multiplying the standard deviation by one-half.

c. None – the standard error and standard deviation are actually the same number.

d. The standard error is calculated by dividing the standard deviation by the square root of n.

Explanation / Answer

We have the formula S.E = / n.

Therefore, the answer is:

d. The standard error is calculated by dividing the standard deviation by the square root of n.

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