A psychologist would like to examine the effects of different testing methods on the final performance of college students. One group has regular quizzes, one group has three large exams, and the...

A psychologist would like to examine the effects of different testing methods on the final performance of college students. One group has regular quizzes, one group has three large exams, and the third group only has a final exam. At the end of the course, the psychologist interviews each student to get a measure of the student’s overall knowledge of the material; this numeric measure is listed in the table below.

(a) Do these data indicate any significant differences among the three methods? Test
with α = .05.
(b)  Do a Scheffe post-hoc test by hand, comparing the quiz group
to the final only group. Show all your work.