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.
Find the probability of a commute taking longer than 58 minutes.
Write down a null and alternative hypothesis for a two-tailed test.
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.
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.