A random sample of five observations from three normally distributed populations produced the following data:

a. Calculate the grand mean.
b. Calculate SSTR and MSTR.
c. Calculate SSE and MSE.
d. Specify the competing hypotheses in order to determine whether some differences exist between the population means.
e. Calculate the value of the F(df1,df2) test statistic.
f. Using the critical value approach at the 5% significance level, what is the conclusion to thetest?
 

Treatments A B 22 20 19 25 25 22 27 21 24 24 26 21 22 23 19 Xc = 21 s = 4.5 X = 24 Xg = 23 s = 4.5 s = 6.5 2