A geography teacher is interested in the link between mathematical ability and the ability to visualize three dimensional situations. He gives a group of 15 students a test and records each students score, m, on the mathematics questions and each students score, v, on the visio-spatial questions.
He calculates the following summary statistics:
Smm = 3747.73, Svv = 2791.33, Smv = 2564.33
(b) Stating your hypotheses clearly and using a 5% level of significance test the theory that students who are good at mathematics tend to have better visio-spatial awareness.
This response calculates the correlation coefficient for a product moment and conducts a hypothesis testing on a theory that students who are good at mathematics have better visio-spatial awareness.