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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 3
30%

The weight of beans in a tin produced by company A normally distributed with a mean of 415 g and a standard deviation of 3.4 g.

a.

Find the probability that a randomly selected tin of beans has a weight of less than 409 g.

[2]
b.

Company A suspects that the mean weight of tins from a machine is lower than it should be.

Write down the company's null and alternative hypothesis.

[1]
c.

A sample of 20 tins is taken and the mean weight is found to be 413 g.

Carry out a test at the 1% significance level to see if there is evidence that the machine is producing tins with a mean of less than 415 g.

[3]
Markscheme

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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