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A2 Unit 4 Applied Mathematics B

Quick questions on Hypothesis testing: correlation and the Normal mean - WJEC A-Level Maths

5short 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 testing a correlation coefficient?
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The product moment correlation coefficient rr measures the strength and direction of linear association in a sample, between −1-1 and 11. A hypothesis test asks whether the underlying population correlation ρ\rho is non-zero.
What is testing a Normal mean?
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The crucial fact is the distribution of the sample mean: averaging reduces variability.
What is q1?
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State the null hypothesis for a test of whether two variables are correlated. [1 mark]
What is q2?
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A sample of 3636 from N(μ,62)N(\mu, 6^2) is used to test the mean. Find the standard error of the sample mean. [2 marks]
What is q3?
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A sample r=0.55r = 0.55 is compared with a critical value of 0.600.60 in a one-tailed test. State the conclusion. [2 marks]

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