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VICSpecialist MathematicsUnit 4: Data analysis, probability and statistics

Quick questions on Hypothesis testing for a mean: 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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Write H0H_0 and a two-tailed H1H_1 for testing whether a mean equals 2020. [2 marks]
What is q2?
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Compute the test statistic for xˉ=27\bar{x} = 27, μ0=25\mu_0 = 25, σ=6\sigma = 6, n=36n = 36. [2 marks]
What is q3?
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Define a Type I error. [1 mark]

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