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2.4.8 Normal distribution as a model (A-level only)

2.4.8 Normal distribution as a model (A-level only)

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Question 11

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.

[5]
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2.4.8 Normal distribution as a model (A-level only) Questions

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79 exam-style questions on OCR (MEI) A Level Maths 2.4.8 Normal distribution as a model (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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