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

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Question 16

The daily commute time for employees at a tech firm is normally distributed with a mean of 45 minutes and a standard deviation of 6 minutes.

a.

Find the probability of a commute taking longer than 58 minutes.

[2]
b.

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

[1]
c.

A survey of 12 randomly selected employees finds a mean commute time of 49.5 minutes. Test at the 10% significance level whether there is evidence that the mean commute 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)