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2.5.8 Hypothesis test for a single mean (A-level only)

2.5.8 Hypothesis test for a single mean (A-level only)

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Question 7

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

2.5.8 Hypothesis test for a single mean (A-level only) Questions

  1. A Level
  2. /Maths
  3. /2.5.8 Hypothesis test for a single mean (A-level only)

132 exam-style questions on OCR (MEI) A Level Maths 2.5.8 Hypothesis test for a single mean (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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