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2.5 O: Statistical hypothesis testing

2.5 O: Statistical hypothesis testing

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Question 27

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.

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

2.5 O: Statistical hypothesis testing Questions

  1. A Level
  2. /Maths
  3. /2.5 O: Statistical hypothesis testing

162 exam-style questions on AQA A Level Maths 2.5 O: Statistical hypothesis testing, covering 2.5.1 Language of hypothesis testing, 2.5.2 Hypothesis test for a binomial proportion, and 2.5.3 Hypothesis test for a Normal mean (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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