Professor John believes that time of day affects how well students learn. To study whether this is true, he gathers some college students and divides them into three groups. He gives the first group some information to learn and tests them at 8:00AM (in the morning). He gives the second group information to learn and tests them at 1:00PM (in the afternoon). He gives the third group information to learn and tests them at 8:00PM (in the evening). The data is presented below.
ΣX2 = 127,902
G = 1506
8:00AM = M = 81 T = 486 SS = 320 n = 6
1:00PM = M = 92.5 T = 555 SS = 203.5 n = 6
8:00PM = M = 77.5 T = 465 SS = 637.5 n = 6
a. Determine the appropriate (bidirectional) hypothesis test to conduct.
b. State the null and alternative hypotheses for this question.
c. Conduct the appropriate (bidirectional) hypothesis test using an alpha level of p = .05.
d. Conduct the appropriate measure of effect size.
e. If applicable, conduct the additional test to determine specific mean differences.
f. Interpret your results and write an appropriate APA-style interpretation.