A particular type of tree was put into three groups, a control group (with 10 trees), a vitamin deficient group (with 10 trees), and a fertilizer group (with 9 trees).

The goal is to see if their average growth is affected.

Summary statistics are below:

Control Deficient Fertilizer yi 17.31 11.70 17.84 ni 10 10 9 The value of MS(within) is 16.8889. Let Control = group 1, Deficient = group 2, and Fertilizer = group 3. (a) Calculate the lower bound for the family-wise (si- multaneous, Bonferroni) 90% confidence intervals for (#1 - #2), assuming you will make k = 3 total confi- dence intervals. (b) Calculate the upper bound for the family-wise (si- multaneous, Bonferroni) 90% confidence intervals for (#1 - (2), assuming you will make k = 3 total confi- dence intervals. (c) Calculate the lower bound for the family-wise (si- multaneous, Bonferroni) 90% confidence intervals for (#1 - #3), assuming you will make k = 3 total confi- dence intervals. (d) Calculate the upper bound for the family-wise (si- multaneous, Bonferroni) 90% confidence intervals for (#1 - (3), assuming you will make k = 3 total confi- dence intervals. (e) Calculate the lower bound for the family-wise (si- multaneous, Bonferroni) 90% confidence intervals for (#2 - (3), assuming you will make k = 3 total confi- dence intervals. (f) Calculate the upper bound for the family-wise (si- multaneous, Bonferroni) 90% confidence intervals for (#2 - (3), assuming you will make k = 3 total confi- dence intervals. (g) Which confidence intervals suggest a significant dif- ference in the means? (h) Which confidence interval suggests the largest signif- icant difference between two means? (i) Interpret the family-wise confidence interval for (#1- (2) in terms of the