The number of microwaves sold by an electronics shop each week can be modelled by a Poisson distribution with mean 5.
A random sample of 45 weeks is taken and the mean number of microwaves sold per week, Mˉ\bar{M}Mˉ, is calculated.
Write down the approximate distribution for the mean number of microwaves sold per week from a random sample of 45 weeks.
The number of coffee machines sold by the shop each week can be modelled by a Poisson distribution with mean μ\muμ.
A random sample of 60 weeks is taken and the mean number of coffee machines sold per week, Cˉ\bar{C}Cˉ, is found. The width of the 95% confidence interval for μ\muμ is 1.4.
Find an estimate for μ\muμ.
A second, independent random sample of 60 weeks is taken and a second 95% confidence interval for μ\muμ is found.
Find the probability that exactly one of these two confidence intervals contains μ\muμ.
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.