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2.5 Statistical Hypothesis Testing

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Question 72

For positive variables x x\,x and yyy, the correlation coefficient between x \sqrt{x}\,x​ and ln⁡y \ln y\,lny is 0.995. The fitted regression line is ln⁡y=1.20+0.450x\ln y=1.20+0.450\sqrt{x}lny=1.20+0.450x​.

a.

Explain why the coefficient supports a model in which ln⁡y \ln y\,lny is linear in x\sqrt{x}x​.

[2]
b.

Express y y\,y in terms of xxx, giving the multiplicative constant to 3 significant figures.

[2]
c.

Estimate y y\,y when x=16x=16x=16.

[1]
Markscheme

2.5 Statistical Hypothesis Testing Questions

  1. A Level
  2. /Maths
  3. /2.5 Statistical Hypothesis Testing

355 exam-style questions on OCR (MEI) A Level Maths 2.5 Statistical Hypothesis Testing, covering 2.5.1 Process and language of hypothesis testing, 2.5.2 When to apply 1-tail and 2-tail tests, 2.5.3 Significance level and incorrect rejection, 2.5.4 Null and alternative hypotheses (binomial), 2.5.5 Conduct a binomial hypothesis test, 2.5.6 Critical and acceptance regions (binomial), 2.5.7 Distribution of the sample mean (A-level only), 2.5.8 Hypothesis test for a single mean (A-level only), 2.5.9 Critical and acceptance regions (mean) (A-level only), 2.5.10 Correlation as closeness to a straight line (A-level only), 2.5.11 Inference using a correlation coefficient (A-level only), and 2.5 Statistical Hypothesis Testing. Each one has a worked solution and a mark scheme showing where the marks go.

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