Question

3. “Anyone Can Learn the Mamba” has become the top selling how-to-dance book and Shawn wanted to know whether the book actually worked for everyone. So Shawn asked 4 adolescents, 4 young adults, and 4 older adults to read the book during the week. The next week, Shawn tested each person on their dancing skills (1 – 10, with 10 being the best score possible). Shawn new some of the steps to analyze the data using an independent-measures ANOVA, but he needs help finishing the analysis. Using the information below, calculated both the observed F-value and the critical F-value (alpha of 0.05).N = 12 (note that you determine k)SSTotal = 32.667SSWithin = 14SSBetween = 18.667
a.   F = 4.00, Fcritical (2,3) = 9.55
b.   F = 4.00, Fcritical (2,9) = 4.26
c.   F = 5.00, Fcritical (2,3) = 9.55
d.   F = 5.00, Fcritical (2,9) = 4.26
e.   F = 6.00, Fcritical (2,3) = 9.55
f.   F = 6.00, Fcritical (2,9) = 4.26

Answer 1

Here there are 3 different groups (Adolescents, young adults and older adults). Therefore k = 3

df1 = df Between = k - 1 = 2

df2 = df within = N - k = 12 - 3 = 9

MS between = SS between/df between = 18.667/2 = 9.3335

MS within = SS within/df within = 14/9 = 1.5556

F = MS between/MS within = 9.3335/1.5556 = 5.999 6

The F critical value at = 0.05, df1 = 2, df2 = 9 from excel function FINV(0.05,2,9) is 4.2565 4.26.

Therefore Option f, is the correct answer.