Question

1) An agricultural experimental station wishes to determine the yields of 5 varieties of soybeans. Each type is planted on 4 plots of land with equal fertility. The yields, in units of 100 bushels, are as follows: Type: A,4 6 4 10 4-7131012 A3: 54 4 9 A4: 11 10 9 14 A:48 6 10 a) Verify that for this set of data, the ANOVA Table is as follows: Source of Variation Degrees of Freedom Sum of Squaresean Squares Among Treatments Within Treatments 4 15 19 106 96 202 26.5 6.4 10.63 Total Variation b) Are the yields of the 5 varieties of soybeans the same at a 0.05 c) Identify the pairs of means, if any, which are significantly different.

Answer 1