Question

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).

d=1.05

sd=2.837

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:.........................