Paired t-test

Questions requiring a hypothesis test on paired or matched data where the same subjects are measured twice or subjects are naturally paired, testing the mean of differences using a paired t-test.

1 questions

CAIE FP2 2012 June Q7
7 A random sample of 8 swimmers from a swimming club were timed over a distance of 100 metres, once in an outdoor pool and once in an indoor pool. Their times, in seconds, are given in the following table.
Swimmer\(A\)\(B\)\(C\)\(D\)\(E\)\(F\)\(G\)\(H\)
Outdoor time66.262.460.865.468.864.365.267.2
Indoor time66.160.360.965.266.463.862.469.8
Assuming a normal distribution, test, at the \(5 \%\) significance level, whether there is a non-zero difference between mean time in the outdoor pool and mean time in the indoor pool.