AQA S3 2012 June — Question 2

Exam BoardAQA
ModuleS3 (Statistics 3)
Year2012
SessionJune
TopicHypothesis test of a normal distribution

2 As part of a comparison of two varieties of cucumber, Fanfare and Marketmore, random samples of harvested cucumbers of each variety were selected and their lengths measured, in centimetres. The results are summarised in the table.
\multirow{2}{*}{}\multirow[b]{2}{*}{Sample size}Length (cm)
Sample meanSample standard deviation
\multirow{2}{*}{Cucumber variety}Fanfare5022.01.31
Marketmore7521.60.702
  1. Test, at the \(1 \%\) level of significance, the hypothesis that there is no difference between the mean length of harvested Fanfare cucumbers and that of harvested Marketmore cucumbers.
  2. In addition to length, name one other characteristic of cucumbers that could be used for comparative purposes.