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2.4 N: Statistical distributions

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Question 77

A data scientist is investigating the duration of sessions, SSS, on a new mobile application. The underlying distribution of SSS is heavily skewed towards shorter sessions and is certainly not normal, though it possesses a finite mean μ\muμ and a finite standard deviation σ\sigmaσ. For a large random sample of nnn sessions, the scientist utilizes the Central Limit Theorem to approximate the distribution of the sample mean session duration, Sˉ\bar{S}Sˉ.

Formulate the Central Limit Theorem in this specific context, explicitly stating the parameters of the resulting distribution and all conditions that must be satisfied for this approximation to be valid.

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Markscheme

2.4 N: Statistical distributions Questions

  1. A Level
  2. /Maths
  3. /2.4 N: Statistical distributions

390 exam-style questions on AQA A Level Maths 2.4 N: Statistical distributions, covering 2.4.1 Discrete distributions and the binomial, 2.4.2 The Normal distribution (A-level only), and 2.4.3 Selecting an appropriate distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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