Plot Type	Number of Plants
Sludge plot	25	27	33	30	28	27
Spring disk	32	30	33	35	34	34
No till	30	26	29	32	25	29

(g) Use Tukey's test to determine which pairwise means are significantly different using a familywise error rate of = 0.05

(i) State the null and alternative hypotheses for each pair. Make sure you state the null and alternative hypotheses for the smaller and the larger sample mean for each pair.

(ii) Compute the test statistic for each pairwise difference. Make sure you subtract the smaller sample mean from the larger sample mean for each pair.

(iii) What is the critical value from the Studentized range distribution (from the Table reporting the critical values for Tukey's test)?

(iv) For each pair, state whether you reject or fail to reject the null hypothesis.

(v) Summarize the conclusions of Tukey's test in a figure by underlying population means which are not significantly different from each other.

(vi) Which plot type would you recommend? Fully justify your answer.