The following data represent the number of pods (yield) on a random sample of soybean plants for various types of plot. Do the data indicate that the distributions for the plot types are different at the 5% level of significance?  a)Calculate the test statistic b)What is the critical value at the 5% level of significance?  c) What is the p-value for this test

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The following data represent the number of pods (yield) on a random sample of soybean plants for various types of plot. Do the data indicate that the distributions for the plot types are different at the 5% level of significance? 

a)Calculate the test statistic

b)What is the critical value at the 5% level of significance? 

c) What is the p-value for this test

Yield
Plot Type
32 Liberty
31 Liberty
36 Liberty
35 Liberty
41 Liberty
34 Liberty
39 Liberty
37 Liberty
38 Liberty
29 Fall plowed
31 Fall plowed
33 Fall plowed
22 Fall plowed
19 Fall plowed
30 Fall plowed
36 Fall plowed
30 Fall plowed
34 No till
30 No till
31 No till
27 No till
40 No till
33 No till
37 No till
42 No till
39 No till
Transcribed Image Text:Yield Plot Type 32 Liberty 31 Liberty 36 Liberty 35 Liberty 41 Liberty 34 Liberty 39 Liberty 37 Liberty 38 Liberty 29 Fall plowed 31 Fall plowed 33 Fall plowed 22 Fall plowed 19 Fall plowed 30 Fall plowed 36 Fall plowed 30 Fall plowed 34 No till 30 No till 31 No till 27 No till 40 No till 33 No till 37 No till 42 No till 39 No till
34 Chisel plowed
37 Chisel plowed
24 Chisel plowed
23 Chisel plowed
32 Chisel plowed
33 Chisel plowed
27 Chisel plowed
34 Chisel plowed
30 Chisel plowed
27 Round-up ready
34 Round-up ready
36 Round-up ready
32 Round-up ready
35 Round-up ready
29 Round-up ready
35 Round-up ready
Transcribed Image Text:34 Chisel plowed 37 Chisel plowed 24 Chisel plowed 23 Chisel plowed 32 Chisel plowed 33 Chisel plowed 27 Chisel plowed 34 Chisel plowed 30 Chisel plowed 27 Round-up ready 34 Round-up ready 36 Round-up ready 32 Round-up ready 35 Round-up ready 29 Round-up ready 35 Round-up ready
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