CAIE FP2 2018 June — Question 6

Exam BoardCAIE
ModuleFP2 (Further Pure Mathematics 2)
Year2018
SessionJune
TopicHypothesis test of Pearson’s product-moment correlation coefficient

6 A random sample of 15 observations of pairs of values of two variables gives a product moment correlation coefficient of 0.430 .
  1. Test at the \(10 \%\) significance level whether there is evidence of non-zero correlation between the variables.
    A second random sample of \(N\) observations gives a product moment correlation coefficient of 0.615 . Using a 5\% significance level, there is evidence of positive correlation between the variables.
  2. Find the least possible value of \(N\), justifying your answer.