In Biometrics (1990, Vol. 46, pp. 67387), the authors analyzed the circumference of five

Chapter 10, Problem 10-46

(choose chapter or problem)

In Biometrics (1990, Vol. 46, pp. 67387), the authors analyzed the circumference of five orange trees (labeled as AE) measured on seven occasions (xi ).Tree x1 x2 x3 x4 x5 x6 x7 A 30 58 87 115 120 142 145 B 33 69 111 156 172 203 203 C 30 51 75 108 115 139 140 D 32 62 112 167 179 209 214 E 30 49 81 125 142 174 177 (a) Compare the mean increase in circumference in periods 1 to 2 to the mean increase in periods 2 to 3. The increase is the difference in circumference in the two periods. Are these means significantly different at ? (b) Is there evidence that the mean increase in period 1 to period 2 is greater than the mean increase in period 6 to period 7 at ? (c) Are the assumptions of the test in part (a) violated because the same data (period 2 circumference) is used to calculate both mean increases?