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2.5 O: Statistical hypothesis testing

2.5 O: Statistical hypothesis testing

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Question 8

The length of the bus journey from Leeds to London is normally distributed with a mean of 220 minutes and a standard deviation of 8 minutes.

a.

Find the probability of a bus taking longer than 235 minutes.

[2]
b.

The bus company suspect that the mean bus time has changed.

Write down a null and alternative hypothesis for a two-tailed test.

[1]
c.

They take a sample of 10 bus journeys and find a mean time of 230 minutes.

Test at the 1% significance level whether there is evidence that the mean time has changed.

[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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