CAIE S2 2014 June — Question 3

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2014
SessionJune
TopicApproximating the Poisson to the Normal distribution
TypeHypothesis test for sum of Poisson observations

3 The number of calls per day to an enquiry desk has a Poisson distribution. In the past the mean has been 5 . In order to test whether the mean has changed, the number of calls on a random sample of 10 days was recorded. The total number of calls was found to be 61 . Use an approximate distribution to test at the 10\% significance level whether the mean has changed.