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2.5 Statistical Hypothesis Testing

2.5 Statistical Hypothesis Testing

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Question 24

A glaciologist is investigating the linear relationship between the temperature of the ice, TTT, and the concentration of a trapped gas, GGG. Four different models suggest the following potential values for the product moment correlation coefficient, rrr, for their dataset:

  • r=sin⁡(4)r = \sin(4)r=sin(4)
  • r=ln⁡(0.5)r = \ln(0.5)r=ln(0.5)
  • r=π3r = \frac{\pi}{3}r=3π​
  • r=2−2r = \sqrt{2} - 2r=2​−2

Which of the following is not a possible value for rrr?

[3]
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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