CAIE S2 2022 June — Question 2

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2022
SessionJune
TopicHypothesis test of a normal distribution

2 In the past, the mean height of plants of a particular species has been 2.3 m . A random sample of 60 plants of this species was treated with fertiliser and the mean height of these 60 plants was found to be 2.4 m . Assume that the standard deviation of the heights of plants treated with fertiliser is 0.4 m . Carry out a test at the \(2.5 \%\) significance level of whether the mean height of plants treated with fertiliser is greater than 2.3 m .