A seed company wants to run an experiment to compare four varieties of wheat. Five fields are available for the study and each field can be subdivided into four plots of equal size. Plots within each field are homogenous, but there may be variation in fertility and other characteristics between fields. a. Suggest a suitable experimental design for this experiment. Justify your choice. b. Describe how you would assign wheat varieties to plots. c. State clearly the null hypothesis you are testing and the alternative. d. If the standard deviation of wheat yield per plot is about 0.13 tons and the experimenter wishes to detect differences in yield of half a ton or more with high probability at the 1% level of significance. What is the power of the F-test from this experiment? 2.For a randomized complete block design (RCBD) (a) Write down the appropriate model, and state the assumptions used. (b) Show that the error mean square is an unbiased estimator of the variance. (c) Explain when do we need to use a RCBD instead of a completely randomized design? (d) Complete the following ANOVA table for a RCBD. Source SS df MS F Treatments 12 Blocks 4 6 Error 36 Total 19 c. State clearly the null hypothesis you are testing and the alternative. d. If the standard deviation of wheat yield per plot is about 0.13 tons and the experimenter wishes to detect differences in yield of half a ton or more with high probability at the 1% level of significance. What is the power of the F-test from this experiment?

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As per policy answer 3 subparts Solution As per the given data a Randomised block design RBD with re... View the full answer