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.

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