Refer to Example 25 in Chapter 1 regarding the plant height (in 1/8 inches) of cross-fertilized and self-fertilized plants. Denote by X_{i}’s and Y_{i}’s, respectively, the heights of cross-fertilized and self-fertilized plants. Then the observed values for the 15 pairs are given in Example 25 of Chapter 1, which are reproduced in the Table 15.2 for convenience. At the level of significance α = 0.05, test the null hypothesis H_{0}\colon F=G, where F and G are the d.f.’s of the X_{i}’s and Y_{i}’s, respectively.
Table 15.2 | |||||
Pair | Cross- | Self- | Pair | Cross- | Self- |
1 | 188 | 139 | 9 | 146 | 132 |
2 | 96 | 163 | 10 | 173 | 144 |
3 | 168 | 160 | 11 | 186 | 130 |
4 | 176 | 160 | 12 | 168 | 144 |
5 | 153 | 147 | 13 | 177 | 102 |
6 | 172 | 149 | 14 | 184 | 124 |
7 | 177 | 149 | 15 | 96 | 144 |
8 | 163 | 122 |