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.
Practise Edexcel A Level Maths Hypothesis Testing with the Normal Distribution with exam-style questions for A Level Maths. 132 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
