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A2 2 Applied Mathematics

Quick questions on Hypothesis testing and further statistics: Poisson, normal, the Central Limit Theorem and significance tests - CCEA A-Level Further Maths

4short 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 hypothesis testing?
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Choosing a one- or two-tailed test wrongly. "Less than" or "more than" is one-tailed; "different from" or "changed" is two-tailed, which splits the significance level between both ends.
What is q1?
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For XPo(4)X \sim \text{Po}(4), write down the mean and variance. [1 mark]
What is q2?
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A sample of 100100 has population standard deviation 2020. Find the standard error of the sample mean. [1 mark]
What is q3?
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A test of "the mean has changed" is one-tailed or two-tailed? [1 mark]

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