AQA Further AS Paper 2 Statistics 2018 June — Question 7

Exam BoardAQA
ModuleFurther AS Paper 2 Statistics (Further AS Paper 2 Statistics)
Year2018
SessionJune
TopicHypothesis test of a Poisson distribution

7 Over a period of time it has been shown that the mean number of vehicles passing a service station on a motorway is 50 per minute. After a new motorway junction was built nearby, Xander observed that 30 vehicles passed the service station in one minute. 7
  1. Xander claims that the construction of the new motorway junction has reduced the mean number of vehicles passing the service station per minute. Investigate Xander's claim, using a suitable test at the \(1 \%\) level of significance.
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  2. For your test carried out in part (a) state, in context, the meaning of a Type 1 error. 7
  3. Explain why the model used in part (a) might be invalid.