19. ADVANCED TOPIC: In a particular high school, three types of video teaching programs were each tried for English, history, and math. The researchers then measured amount learned. There were two students per cell. Based on the following results,

(a) make a table of cell and marginal means,

(b) draw a bar graph of them,

(c) carry out the five steps of hypothesis testing (use the

.05 significance level), and

(d) explain the results and the way you arrived at them to someone who is familiar with the one-way analysis of variance

(including the structural model approach), but not with the factorial analysis of variance.

English History Math Program Type A 3 15 2 3 14 3 Program Type B 6 18 6 8 10 5 Program Type C 1 13 2 3 4 0