15.67 Yield of Wheat Exercise 11.66 presented an analysis of variance of the yields of five different vari- eties of wheat, observed on one plot each at each of six different locations (see data set EX1166). 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 a = 0.05.

b. Exercise 11.66 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.

Transcribed Image Text:

Location Varieties 1 2 3 4 5 6 ABCDE A 35.3 31.0 32.7 36.8 37.2 33.1 30.7 32.2 31.4 31.7 35.0 32.7 38.2 33.4 33.6 37.1 37.3 38.2 34.9 36.1 35.2 38.3 40.2 36.0 32.4 28.9 29.2 30.7 33.9 32.1