The data that follow are observations collected from an experiment that compared four treatments, A, B, C, and D, within each of three blocks, using a randomized block design.
a. Do the data present sufficient evidence to indicate differences among the treatment means? Test using α = .05.
b. Do the data present sufficient evidence to indicate differences among the block means? Test using α = .05.
c. Rank the four treatment means using Tukey’s method of paired comparisons with α = .01.
d. Find a 95% confidence interval for the difference in means for treatments A and B.
e. Does it appear that the use of a randomized block design for this experiment was justified? Explain.
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