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Using the fact that the total number of enquiries is $5$, carry out the test at the $2.5\%$ significance level.
Mathematics 9709 · AS & A Level · Hypothesis testing
Hypothesis testing — practice question
Previously, the number of enquiries per minute at a customer service desk was represented by a random variable with distribution $\text{Po}(0.31)$. After the desk was moved, the mean number of enquiries per minute is expected to rise. To check whether this has happened, the total number of enquiries in one randomly selected $5$-minute interval is recorded. Assume that a Poisson model remains suitable.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The correct hypotheses are $H_0: \lambda=1.55$ and $H_1: \lambda>1.55$.” …
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