A skeptical farmer wonders whether there is really any benefit in terms of yield in the various high-yield varieties of wheat produced by agricultural researchers.

Accordingly, he keeps a record over the years of the yield with various varieties.

His results are as follows:

Traditional variety 2.7 1.9 3.6 Improved variety type 1 2.3 3.1 4.0 Improved variety type 2 4.4 2.7 3.5 The farmer uses a statistical package to analyze these results using ANOVA and concludes that there is no evidence that the improved varieties are better. Do you agree with the farmer? Discuss. P-963