CAIE S2 2024 November — Question 1

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2024
SessionNovember
TopicHypothesis test of a normal distribution

1 The heights of a certain species of deer are known to have standard deviation 0.35 m . A zoologist takes a random sample of 150 of these deer and finds that the mean height of the deer in the sample is 1.42 m .
  1. Calculate a 96\% confidence interval for the population mean height.
  2. Bubay says that \(96 \%\) of deer of this species are likely to have heights that are within this confidence interval. Explain briefly whether Bubay is correct.