The following data were collected for a randomized block analysis of variance design with four populations and eight blocks:

a. State the appropriate null and alternative hypotheses for the treatments and determine whether blocking is necessary.
b. Construct the appropriate ANOVA table.
c. Using a significance level equal to 0.05, can you conclude that blocking was necessary in this case? Use a test-statistic approach.
d. Based on the data and a significance level equal to 0.05, is there a difference in population means for the four groups? Use a p -value approach.
e. If you found that a difference exists in part d, use the LSD approach to determine which populations have different means.