Table 3.13 Data for the Trout Experiment Code Hemoglobin (grams per 100I ml]I 1 6.? 7.8 5.5 8.4 ?.0' ?.8 8.6 ?.4 5.8 7.0 2 9.9 8.4 10.4 9.3 10.? 11.9 ?.1 6.4 8.6 10.6

3 10.4 8.1 10.6 8.? 10.? 9.1 8.8 8.1 228 8.0

4 9.3 9.3 7.2 ?.8 9310.2 8.? 8.6 9.3 7.2 Source: GutsellJ. 5. {1951). Copyright ® 1951 International Biometric

Society. Reprinted with permission. The ﬁsh food added to the troughs contained, respectively, 0, 5, 10, and 15 grams of

sulfamerazine per 100 pounds of ﬁsh (coded l, 2, 3, 4). The measurements were made

on ten randomly selected ﬁsh from each trough after 35 days. (a) Plot the data and comment on the results. (b) Write down a suitable model for this experiment. (c) Calculate the least squares estimate of the mean response for each treatment. Show

these estimates on the plot obtained in (a). Can you draw any conclusions from

these estimates? (d) Test the hypothesis that sulfameraziue has no eﬂect on the hemoglobin content of

trout blood. (e) Calculate a 95% upper conﬁdence limit for 0'2. 16. "It-out experiment, continued

Suppose the trout experiment of Exercise 15 is to be repeated with the same I: = 4

treatments , and suppose that the same hypothesis, that the treatments have no effect on hemoglobin content. is to be tested. (a) For calculating the number of observations needed on each treatment, what would

you use as a guess for 0'2? (b) Calculate the sample sizes needed for an analysis of variance test with or = 0.05 nnJ— .nlu .. J— ”n