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A large farm wants to try out a new type of fertilizer to

Chapter , Problem 5.39

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QUESTION:

A large farm wants to try out a new type of fertilizer to evaluate whether it will improve the farms corn production. The land is broken into plots that produce an average of 1,215 pounds of corn with a standard deviation of 94 pounds per plot. The owner is interested in detecting any average dierence of at least 40 pounds per plot. How many plots of land would be needed for the experiment if the desired power level is 90%? Assume each plot of land gets treated with either the current fertilizer or the new fertilizer.

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QUESTION:

A large farm wants to try out a new type of fertilizer to evaluate whether it will improve the farms corn production. The land is broken into plots that produce an average of 1,215 pounds of corn with a standard deviation of 94 pounds per plot. The owner is interested in detecting any average dierence of at least 40 pounds per plot. How many plots of land would be needed for the experiment if the desired power level is 90%? Assume each plot of land gets treated with either the current fertilizer or the new fertilizer.

ANSWER:

Problem 5.39

A large farm wants to try out a new type of fertilizer to evaluate whether it will improve the farm's corn production. The land is broken into plots that produce an average of 1,215 pounds of corn with a standard deviation of 94 pounds per plot. The owner is interested in detecting any average difference of at least 40 pounds per plot. How many plots of land would be needed for the experiment if the desired power level is 90%? Assume each plot of land gets treated with either the current fertilizer or the new fertilizer.

                                                              Step by Step Solution

Step 1 of 4

Increasing corn yield

A farmer wants to try a new type of a fertilizer to improve farm’s corn production. The farm land is broken into plots that produce corn.

The data given before the use of fertilizer

The average yield is

 

The standard deviation is

 

The difference required by the farmer after the fertilizer is

 

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