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4.5 Statistical distributions (A-level only)

4.5 Statistical distributions (A-level only)

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Question 22

A food processing plant packs cereal into boxes with a target mean weight of 500g. A quality control inspector believes the machine is underfilling the boxes. A random sample of 100 boxes is weighed, giving the following statistics:

n=100∑x=49910∑x2=24912581 n = 100 \quad \sum x = 49910 \quad \sum x^2 = 24912581 n=100∑x=49910∑x2=24912581
a.

Find the mean and standard deviation of the sample.

[3]
b.

Carry out a hypothesis test to test the inspector's belief at the 1% significance level. State your assumptions clearly.

[5]
Markscheme

4.5 Statistical distributions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /4.5 Statistical distributions (A-level only)

284 exam-style questions on CCEA A Level Maths 4.5 Statistical distributions (A-level only), covering 4.5.1 Statistical distributions (A-level only) and 4.5.2 Statistical distributions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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