OCR Further Statistics 2017 Specimen — Question 7

Exam BoardOCR
ModuleFurther Statistics (Further Statistics)
Year2017
SessionSpecimen
TopicHypothesis test of a normal distribution

7 Sweet pea plants grown using a standard plant food have a mean height of 1.6 m . A new plant food is used for a random sample of 49 randomly chosen plants and the heights, \(x\) metres, of this sample can be summarised by the following. $$\begin{aligned} n & = 49
\Sigma x & = 74.48
\Sigma x ^ { 2 } & = 120.8896 \end{aligned}$$ Test, at the 5\% significance level, whether, when the new plant food is used, the mean height of sweet pea plants is less than 1.6 m .