Refer to Exercise 15.4.
a. In Chapter 6, we introduced the paired t test. Analyze the above data using this test statistic.
b. Show that the paired t test is equivalent to the F test from the randomized block AOV by showing that your computed values for the t test and F test satisfy t2 = F. Furthermore, show that the critical values from the t table and F table satisfy the following ­relationship: t2. 05/ 2, 23 = F. 05, 1, 23. Therefore, the paired t test and F test from the randomized block AOV must be equivalent.
In exercise

Pair 1 234 5 67911 12 Before 2.37 3.17 3.07 2.73 349 4.35 3.65 3.97 3.21 4.46 3.81 455 After 251 265 2.60 2.40 23 2.28 094 2.21 3.29 192 3.38 2.43 Pair 13 14 1516 17 8 19 20 2 23 24 Before 451 3.03 447 3.44 352 3.0 3.66 3.81 3.13 343 3.26 2.85 After 183 263 231 185 2.92 2.26 3.1 190 2.50 3.18 3.24 2.16 5 5