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4.6 Statistical hypothesis testing (A-level only)

4.6 Statistical hypothesis testing (A-level only)

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Question 79

A machine is designed to fill bags of sugar with a target mean weight of 500 g. The weight of sugar in a bag is normally distributed. A quality control manager suspects the machine is underfilling the bags. The weights, xxx g, of 10 randomly selected bags are recorded, and the following statistics are calculated:

xˉ=492.5s=9.24 \bar{x} = 492.5 \quad s = 9.24 xˉ=492.5s=9.24

Stating your hypotheses clearly, test at the 5% significance level whether or not the manager's suspicion is supported.

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4.6 Statistical hypothesis testing (A-level only) Questions

  1. A Level
  2. /Maths
  3. /4.6 Statistical hypothesis testing (A-level only)

209 exam-style questions on CCEA A Level Maths 4.6 Statistical hypothesis testing (A-level only), covering 4.6.1 Statistical hypothesis testing (A-level only), 4.6.2 Statistical hypothesis testing (A-level only), 4.6.3 Statistical hypothesis testing (A-level only), 4.6.4 Statistical hypothesis testing (A-level only), and 4.6.5 Statistical hypothesis testing (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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