STAT 571 Final: STAT 571 UW Madison Fall 02Final Solutions
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Checking the f- table with degrees of freedom 4 and 10, we see the p-value is less than 0. 05. H0: a = b = c = d = e. (c) Reject the null hypothesis. (d) lsd = 2. 228 3. 678p2/3 = 3. 388. Plugging in the formula for the least square estimates, we get b1 = 0. 714, and b0 = The p-value is between 0. 05 and 0. 10. (d) ypred = 1. 148 + 0. 714 13 = 10. 43. The 90% con dence interval for the prediction is. 0. 05 level: for rule a: x n (62, 800/100), and the power is. Denote the number of defective observations as w . Then w b(100, 0. 3817) n (38. 97, 23. 78), and the power is. Therefore rule a is more powerful: under the null hypothesis, the data come from a standard normal distribution, and the probabil- ity of the three categories are p (z < 1. 2) =
