analysis of variance table

Four brands of fertilizer were evaluated. Each brand was applied to each six plots of land containing soils of different types. Percentage increases in corn yields were then measured for the 24 brand-soil-type combinations. The results obtained are summarized in the accompanying table

Source of Variation

Sum of Squares

Between fertilizers

135.6

Between soil types

81.7

Error

111.3

a. Complete the analysis of variance table.

b. Test the null hypothesis that population mean yield increases are the same for the four fertilizers.

c. Test the null hypothesis that population mean yield increases are the same for the six soil types.

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