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SCENARIO 11-11
an Agronomist Wants to Compare the Crop Yield

Question 298

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SCENARIO 11-11
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants all 3
varieties of the seeds on each of 5 different patches of fields. She then measures the crop yield in
bushels per acre. Treating this as a randomized block design, the results are presented in the table that
follows.  Fields  SmithWalshTrevor 111.119.014.6213.518.015.7315.319.816.8414.619.616.759.816.615.2\begin{array}{rrrr}\underline {\text { Fields }} &\underline {\text { Smith}}& \underline{\text {Walsh}}& \underline{\text {Trevor }}\\1&11.1 & 19.0 & 14.6 \\2&13.5 & 18.0 & 15.7 \\3&15.3 & 19.8 & 16.8 \\4&14.6 & 19.6 & 16.7 \\5&9.8 & 16.6 & 15.2\end{array}
-Referring to Scenario 11-11, what is the null hypothesis for testing the block effects? a) H0:μField 1. =μField 2. =μField 3. =μField 4. =μField 5. H _ { 0 } : \mu _ { \text {Field 1. } } = \mu _ { \text {Field 2. } } = \mu _ { \text {Field 3. } } = \mu _ { \text {Field 4. } } = \mu _ { \text {Field 5. } }
b) H0:μsmith. =μWalsh. =μTrevor H _ { 0 } : \mu _ { \text {smith. } } = \mu _ { \text {Walsh. } } = \mu _ { \text {Trevor } } .
c) H0:MField 1. =MField 2. =MField 3. =MField 4. =MField 5. H _ { 0 } : M _ { \text {Field 1. } } = M _ { \text {Field 2. } } = M _ { \text {Field 3. } } = M _ { \text {Field 4. } } = M _ { \text {Field 5. } } .
d) H0:MSmith =MWalsh. =MTrevor \quad H _ { 0 } : M _ { \text {Smith } } = M _ { \text {Walsh. } } = M _ { \text {Trevor } } .

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