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Sampling, Inference & the t-Test · Question 25 of 70

Question 25

MediumOriginal question

A population has standard deviation 12. What is the standard error of the mean of a sample of 36?

\frac{1}{3}

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2

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4

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12

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Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

The standard error of the mean is $\frac{\sigma}{\sqrt{n}}$ .
$\frac{12}{\sqrt{36}} = \frac{12}{6} = 2$ .

Worth noting

$\frac{1}{3}$ divides by 36 instead of by its square root.

Concept: The standard error of the mean
Typical timeTypical: 90 s
Your timeYours: —

The rule this testsParameters, statistics and the central limit theorem

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