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4.5 Statistical distributions (A-level only)

4.5 Statistical distributions (A-level only)

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Question 108

The mass of beans in a tin filled by a machine, in grams, is Normally distributed with mean 415 g and standard deviation 3.4 g.

a.

Find the probability that a randomly chosen tin contains less than 409 g of beans. Give your answer to 3 significant figures.

[1]
b.

The company suspects that the machine is now filling tins to a mean mass of less than 415 g. A random sample of 20 tins is taken, and the mean mass of beans in the sample is 413 g.

Stating your hypotheses clearly, carry out a test at the 1% significance level to investigate the company's suspicion. You may assume that the standard deviation is still 3.4 g.

[4]
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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