Suppose a sample of 30 students were given a diagnostic test before studying a particular module and then again after completing the module. We want to find out if, in general, our teaching leads to improvements in students’ knowledge/skills (i.e. test scores). Let y = test score after the module, and x = test score before the module. (di=yi−xi).
At the 5% significance level, do the data provide sufficient evidence to conclude that the module leads to improved test scores?
State the null and alternative hypotheses.
H0: _________________ Ha:_______________________