Mathematics (AS & A Level) · Oct / Nov 2023 · Paper 63 · Question 5

In the past the number of enquiries per minute at a customer service desk has been modelled by a random variable with distribution Po0.31 . Following a change in the position of the desk, it is expected that the mean number of enquiries per minute will increase. In order to test whether this is the case, the total number of enquiries during a randomly chosen 5-minute period is noted. You should assume that a Poisson model is still appropriate. Given that the total number of enquiries is 5, carry out the test at the 2.5% significance level. [5]

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