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Exercise 11.2 We wish to examine the average daily weight gain by calves sired by four bulls selected at random from a population of bulls.

Exercise 11.2 We wish to examine the average daily weight gain by calves sired by four bulls selected at random from a population of bulls. Bulls denoted A through D were mated with randomly selected cows. Average daily weight gain by the calves is given below. A B C D 1.46 1.17 .98 .95 1.23 1.08 1.06 1.10 1.12 1.20 1.15 1.07 1.23 1.08 1.11 1.11 1.02 1.01 .83 .89 1.15 .86 .86 1.12 a) Test the null hypothesis that there is no sire to sire variability in the response. b) Find 90% confidence intervals for the error variance and the sire to sire variance.

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