Use the test to determine whether the data provide sufficient evidence to indicate a difference in the yields for the 5 different varieties of wheat

Yulia 2021-08-11 Answered
An analysis of variance of the yields of five different varieties of wheat, observed on one plot each at each of six different locations. The data from this randomized block design are listed here:
Varieties, Location 1, Location 2, Location 3, Location 4, Location 5, Location 6
A, 35.3, 31.0, 32.7, 36.8, 37.2, 33.1
B, 30.7, 32.2, 31.4, 31.7, 35.0, 32.7
C, 38.2, 33.4, 33.6, 37.1, 37.3, 38.2
D, 34.9, 36.1, 35.2, 38.3, 40.2, 36.0
E, 32.4, 28.9, 29.2, 30.7, 33.9, 32.1
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 αα=.05.
b. How do the analysis of variance F test compare with the test in part a? Explain.

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Expert Answer

Tasneem Almond
Answered 2021-08-12 Author has 21048 answers
a) There is sufficient evidence to support the claim that there is a difference in the yields for the five difference variates of wheat.
b) Same conclusion.
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An analysis of variance of the yields of five different varieties of wheat, observed on one plot each at each of six different locations. The data from this randomized block design are listed here:
\(\begin{array}{|c|c|} \hline Varieties & Location 1& Location 2& Location 3& Location 4& Location 5& Location 6 \\ \hline A& 35.3& 31.0& 32.7& 36.8& 37.2& 33.1 \\ \hline B& 30.7& 32.2& 31.4& 31.7& 35.0& 32.7\\ \hline C& 38.2& 33.4& 33.6& 37.1& 37.3& 38.2\\ \hline D& 34.9& 36.1& 35.2& 38.3& 40.2& 36.0\\ \hline E& 32.4& 28.9& 29.2& 30.7& 33.9& 32.1\\ \hline \end{array}\)
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b. How do the analysis of variance F test compare with the test in part a? Explain.

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