A researcher is investigating the effects of a new drug on the ability of rats to learn to navigate a maze. She is worried that differences in activity levels might influence the results, so she gives them a baseline activity test and matches them to form eight pairs. One group is then given the drug and the other group a placebo. Here are the results in terms of number of trials it took each pair to navigate the maze without any errors.
(a) State formally the null and alternative hypotheses necessary to conduct a non directional test.
(b) Complete the test at the .05 level of significance.
(c) Calculate effect size, g.