The following data were obtained from an independentmeasures study comparing three treatment conditions.

Treatment I II III n 5 6 n 5 6 n 5 6 N 5 18 M 5 1 M 5 2 M 5 6 G 5 54 SS 5 60 SS 5 65 SS 5 40 SX2 5 411

a. Calculate the sample variance for each of the three samples.

b. Use an ANOVA with a 5 .05 to determine whether there are any significant differences among the three treatment means. (Note: In the ANOVA you should find that MSwithin is equal to the average of the three sample variances.)