In: Math
Ten observations were selected from each of 3 populations and an analysis of variance was performed on the data. The following are the results:
| Source of variation | Sum of squares | degrees of freedom | mean square | F | 
| Between treatments | 82.4 | |||
| Within treatments (Error) | 158.4 | |||
| Total | 
A. Using alpha= .05, test to see if there is a significant difference among the means of the three populations.
B. If in part A you concluded that at least one mean is different from the others, determine which mean is different using LSD method. The three samples are (mean) X1=24.8, X2=23.4, X3=27.4.