For Exercises 11 and 12, do the following:

  1. Reconstruct the corresponding one-way ANOVA table.
  2. Perform the one-way ANOVA using level of significance . Provide the hypotheses, the conclusion, and the interpretation.
  3. Is the conclusion from the one-way ANOVA different from that of the RBD analysis? Did the RBD help to find significance?

Question 12.107

11. The randomized block design ANOVA table in Exercise 9

12.3.11

(a)

Source Sum of
squares
Degrees of
freedom
Mean
square
Treatments 90 2 45 5.3182
Error 110 13 8.4615
Total 200 15

(b) : Not all of the population means are equal. Reject if . The , which is ; therefore we reject . There is evidence at level of significance that the population means are not all equal. (c) The conclusions are the same for both tests. No.