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2.5.5 Hypothesis test for the mean of a normal distribution (A-level only)

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Question 21

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.

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]

2.5.5 Hypothesis test for the mean of a normal distribution (A-level only) Questions

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  3. /2.5.5 Hypothesis test for the mean of a normal distribution (A-level only)