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2.5 Statistical Hypothesis Testing

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Question 58

An atmospheric scientist records the relationship between the altitude hhh (in km) and the air temperature TTT (in ∘C{}^\circ\text{C}∘C) above a fixed ground location. The resulting scatter graph shows that as altitude increases, the temperature decreases consistently. The data points are positioned extremely close to a straight line of best fit, with almost no visible deviation from the linear path.

Which of the options below best describes the correlation between hhh and TTT?

  • moderate positive

  • strong positive

  • moderate negative

  • strong negative

Scatter graph of air temperature against altitude, showing a strong negative correlation with points very close to a descending straight-line pattern.

[2]
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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