Practice question · Select all that apply
Select every true statement about sampling.
Hints
- Two of the options are the classic misconceptions named in the lesson.
- Ask what happens if you poll ten thousand people, all from one neighbourhood.
Show the answer
- B. The standard error is proportional to 1 over the square root of n
- D. The standard error shrinks as the sample size grows
- E. Averaged over many samples, the sample mean lands on the population mean
Why
Bias is a systematic error that grows no smaller with more data, a bigger biased sample is just a more confident wrong answer. And the theorem's whole power is that it needs no assumption about the population's shape.
Practise Sampling and the Central Limit Theorem
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More questions on Sampling and the Central Limit Theorem
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