Question: 20. In the preceding problem the three sample means are close together and there are no significant mean differences. To construct the following data, we

20. In the preceding problem the three sample means are close together and there are no significant mean differences.

To construct the following data, we started with the scores in Problem 19 and then moved the individuals in the third sample farther away from the other tw o groups. Specifically, we added 3 points to each score in treatment III to increase the mean differences.

a. Use an ANOVA with a = .05 to determine w hether there are any significant differences among the three treatments. Compare the outcome with the results in Problem 19.

b. Compute Tf for these data. Compare the outcome with the result from Problem 19.

Treatment I II III 1 8 G = 48 4 5 5 IX 2 = 284 4 6 4 2 9 T= 8 T = 12 T = 28 SS = 16 SS = 10 SS = 10

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