Consider the following data (y, x) from a CRD, where y represents the response after treatment, and is a covariate.

(i) Analyze the data, ignoring the covariate, that is,

(a) obtain treatment means,

(b) obtain ANOVA table and perform F-test,

(c) perform Tukey's Test (a = .05).

(d) interpret the results. (ii) Using the experiment as a pilot study and, again ignoring the covariate, determine the number of replications per treatment needed to detect a dif- ference between the best and the poorest treatment of 3 units or more with probability .8, using a test of size a = .05. (iii) Do the same as in (i) using the covariate. (iv) Do the same as in (ii) using the covariate. (v) Comment on the results from (i), (ii) vs. (iii), (iv).

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2: 1: (7.5, 3.5) (6.2, 2.6) (6.8, 3.1) (10.0, 3.0) (12.1, 3.7) (11.3, 4.1) (15.2, 5.1) (10.7, 2.6) (12.9, 3.1) (5.1, 4.2) (4.6, 3.7) (7.1, 4.9) 5: (12.1, 2.3) (14.2, 2.9) (15.0, 3.5) 6: (10.0, 3.2) (9.8, 3.0) (9.6, 2.5) 3: Treatment 4: