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A-LevelMathematicsProbability and statistics9709/61 · Oct/Nov 2024 · Q14 Marks

The heights of a certain species of deer are known to have standard deviation 0.35 m. A zoologist takes a random sample of 150 of these deer and finds that the mean height of the deer in the sample is 1.42 m.

  1. (a)Calculate a 96% confidence interval for the population mean height.[3]
  2. (b)Bubay says that 96% of deer of this species are likely to have heights that are within this confidence interval. Explain briefly whether Bubay is correct.[1]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2024). The mark or mark type is shown in brackets.

  1. [B1] z = 2.054 or 2.055
  2. [M1] 1.42 ± z 0.35 / √150
  3. [A1] 1.36 to 1.48 [m] (3 sf)
  4. [B1] No. CI is about mean, not individual values.

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About this question

Topic
Probability and statistics, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source
A-Level Mathematics, Oct/Nov 2024 Paper 6 Variant 1, question 1.

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