Question

A political science professor is interested in comparing students who do and do not vote in federal
elections. She computes the mean grade point average for a random sample of 14 students who have voted in
the last federal election to be 2.51 with a standard deviation of 0.44. She computes the mean grade point average
for a random sample of 15 students who did not vote in the last election to be 2.98 with a standard deviation of
0.56. Does the professor have statistically significant evidence, using α = 0.02, to conclude that those who do
and those do not vote in federal elections have different mean grade point averages?

Answer 1

H0: those who do and those do not vote in federal elections have different mean grade point averages

H1: those who do and those do vote in federal elections have different mean grade point averages

i.e.

Thus we conclude that those who do and those do vote in federal elections have different mean grade point averages