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2.5 Statistical Hypothesis Testing

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Question 42

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

316 exam-style questions on OCR A Level Maths 2.5 Statistical Hypothesis Testing, covering 2.5.1 The language of hypothesis testing, 2.5.2 Hypothesis test for a binomial proportion, 2.5.3 Inference and significance level, 2.5.4 Sample mean as a random variable (A-level only), 2.5.5 Hypothesis test for the mean of a normal distribution (A-level only), 2.5.6 Pearson's product-moment correlation coefficient, and 2.5.7 Hypothesis test using Pearson's coefficient (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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