Quick questions on Sample mean and the central limit theorem: VCE Specialist Mathematics Unit 4

3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is q1?

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State the mean and standard error of

\bar{X}

for

\mu = 20

\sigma = 4

n = 16

. [2 marks]

What is q2?

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By what factor must

n

increase to halve the standard error? [1 mark]

What is q3?

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State the central limit theorem in one sentence. [2 marks]

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