Further Mathematics · OCR H245 · Option S · Topic 5.07

Non-parametric tests

Non-parametric tests, the basis of non-parametric tests, single-sample hypothesis tests, paired-sample and two-sample hypothesis tests, normal approximations.

  • 5 sub-topics
  • Taught in Year 13
  • 40 practice questions
  • 5 animated lessons
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What the specification says

Every sub-topic OCR can examine in this topic, with its reference number from the official specification. The Y12 and Y13 tags show when each sub-topic is usually taught.

  1. 5.07aNon-parametric testsY13
  2. 5.07bThe basis of non-parametric testsY13
  3. 5.07cSingle-sample hypothesis testsY13
  4. 5.07d-ePaired-sample and two-sample hypothesis testsY13
  5. 5.07fNormal approximationsY13

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Easy and medium questions from this topic, each with a worked solutions and the mark for every step. All 40 questions in this topic, free, no account needed.

Non-parametric tests

Easy

Non-parametric tests · Year 12 · 1 mark

  1. What makes a hypothesis test non-parametric?
    (1)

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  1. Non-parametric tests use signs or ranks, not the values themselves.BB: It does not assume that the data come from a particular distribution, such as a Normal distribution

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Non-parametric tests

Medium

The p-value of a sign test · Year 12 · 1 mark

  1. In a one-tailed sign test with 9 observations, only 1 observation lies below the hypothesised median. What is the p-value, to 4 decimal places?
    (1)

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  1. With X∼B(9,0.5)X \sim B(9, 0.5), the p-value is P(X≤1)\mathrm{P}(X \leq 1).DD: 0.0195

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