May/June 2026 Paper 62

2026 · 7 questions · 15 parts · 50 marks

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Context for question 3
The number of vehicles, , passing a certain junction between 1.00 pm and 1.01 pm is modelled by a Poisson distribution. In the past, the population mean of was 2.4. After a change is made to the junction, the value of is noted on a randomly chosen day. A hypothesis test at the 5% significance level is carried out to determine whether the population mean of has increased.
3(a)Hypothesis TestingMedium1 mark
State suitable null and alternative hypotheses for the test.
3(b)Hypothesis TestingHard4 marks
Find the smallest value of that would result in rejecting the null hypothesis.
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Smallest value of
3(c)Hypothesis TestingMedium1 mark
State the value of .