Exercise 11.68 presented an analysis of variance of the yields of five different varieties of wheat, observed on one plot each at each of six different locations (see data set EX1168). The data from this randomized block design are listed here:

a. Use the appropriate nonparametric test to determine whether the data provide sufficient evidence to indicate a difference in the yields for the five different varieties of wheat. Test using α = .05.
b. Exercise 11.68 presented a computer printout of the analysis of variance for comparing the mean yields for the five varieties of wheat. How do the results of the analysis of variance F test compare with the test in part a? Explain.

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Location Varieties 1 35.3 31.0 32.7 36.8 37.2 33.1 30.7 32.2 31.4 37 35.32.7 38.2 33.4 33.6 37.1 373 38.2 34.9 36.1 35.2 38.3 40.2 36.0 32.4 28.9 29.2 30.7 33.932.1