To create the following problem the other problem with allsamples n =5; the same sample means and variances that appeared inthe problem were used but the sample size was doubled to n =10.
| Treatment | |
| I | II | III | |
| n = 10 | n = 10 | n = 10 | N = 30 |
| M =1 | M = 5 | M = 6 | |
| T = 10 | T= 50 | T = 60 | G =120 |
| s2 = 9.00 | s2 = 10.00 | s2 = 11.00 | ?x2 = 890 |
| SS = 81 | SS = 90 | SS = 99 | |
a. Predict how the increase in sample size should affect theF-ratio for these data compared to the values obtained in the otherproblem (F= 3.50). Use an ANOVA with a = 0.05 to check yourprediction. Note: Because the samples are all the same sizeMSwithin is the average of the three samplevariances.
b. Predict how the increase in sample size should affect thevalue of ?2 for these data compared tothe ?2 in the other problem ( ?2 =0.368)
