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Sampling, Inference & the t-Test · Question 29 of 70

Question 29

MediumOriginal question

A population has standard deviation 30. How large a sample is needed for the standard error of the mean to be 5?

6

Correct answerYour answer

25

Correct answerYour answer

35

Correct answerYour answer

36

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

$\frac{30}{\sqrt{n}} = 5$ , so $\sqrt{n} = 6$ .
$n = 36$ .

Worth noting

6 is $\sqrt{n}$ ; the sample size is its square.

Concept: The sample size for a standard error
Typical timeTypical: 90 s
Your timeYours: —

The rule this testsParameters, statistics and the central limit theorem

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