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Sampling, Inference & the t-Test · Question 31 of 70

Question 31

MediumOriginal question

The standard error of the mean is 4 for samples of 25. What is it for samples of 100 from the same population?

Options for question 31

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. The standard error is σn\frac{\sigma}{\sqrt{n}}: four times the sample size divides it by 4=2\sqrt{4} = 2.

  2. 42=2\frac{4}{2} = 2.

Worth noting

1 divides by 4, as if the standard error fell in proportion to nn.

Concept
Sample size and the standard error
Typical time
90 s
Your time
—
The rule this testsParameters, statistics and the central limit theorem
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