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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 28

The mass of flour in bags packed by a factory is normally distributed with a mean of 1500 g and a standard deviation of 25 g.

a.

Find the probability that a randomly selected bag of flour has a mass of less than 1450 g.

[2]
b.

A quality inspector believes the bagging machine is under-filling and the mean mass is less than 1500 g.

State the null and alternative hypotheses for this test.

[1]
c.

A random sample of 16 bags is weighed and the mean mass is found to be 1485 g.

Test the inspector's belief at the 1% significance level.

[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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