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

question 104

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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 } } .


Definitions:

Variable Costs

Costs that vary directly with the level of production or sales, such as materials and labor.

Breakeven Point

The point at which total cost and total revenue are equal, meaning no net loss or gain, and the business is not making a profit.

Price Ceiling

A government-imposed limit on the price charged for a product, to ensure that it remains affordable for consumers.

Price Floor

A minimum price set by the government or an organization for a particular good or service, below which it cannot be sold.

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