Random sampling from four treatm ents produced the following data:

Treatments A B C D

− 11 − 8 − 8 − 12

− 13 − 13 − 13 − 13

− 10 − 15 − 8 − 15

− 12 − 13

− 10

a. Calculate the grand mean.

b. Calculate SSTR and MSTR.

c. Calculate SSE and MSE.

d. Specify the com peting hypotheses in order to determ ine w hether some differences exist between the population means.

e. Calculate the value o f the F test statistic.

f. Approxim ate the p-value.

g. At the 10% significance level, w hat is the conclusion to the test? P-69