Three groups of three students each were introduced to a certain statistics conc

Question

Three groups of three students each were introduced to a certain statistics concept by three different methods. Do any of these methods perform differently from the others (using an alpha = 0.05)? What is the number of levels, k? What is the total number of samples, N? What is the null hypothesis, H_0? What value of F must be exceeded to reject H_0? What is the F-statistic for this data? Do you reject the null hypothesis, or fail to reject the null hypothesis? What does the answer in part f) lend you to believe about the three methods?

Explanation / Answer

a) k=3 (3 methods are indicated as levels)

b) N=9 (3 subjects in each of the 3 groups)

c) H0: mu1=mu2=mu3

d) Fk-1,N-k,0.05=F2,6,0.05=5.14

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