11. The Dakota Farm Cooperative owns and leases prime farmland in the upper Midwest. Most of its 34,000 acres are planted in grain. The cooperative performs a substantial amount of testing to determine what seed types produce the greatest yields. Recently, the cooperative tested three types of corn seed on test plots. The following values were observed after the first test year: Seed Type A Seed Type B Seed Type C Mean Bushels/Acre 109 68 98 Standard Deviation 16 15 25 (A) Based on the results of this testing, which seed seems to produce the greatest average yield per acre? Comment on the type of testing controls that should have been used to make this study valid. (B) Suppose the company is interested in consistency. Which seed type shows the least relative variability? (C) Assuming the Empirical Rule (bell-shape) applies, describe the production distribution for each of the three seed types. (D) Suppose you were a farmer and had to obtain at least 145 bushels per acre to escape bankruptcy. Which seed type would you plant? Explain your choice. (E) Rework your answer to part d assuming the farmer needed 124 bushels per acre instead.

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11. The Dakota Farm Cooperative owns and leases prime farmland in the upper Midwest. Most of its 34,000
acres are planted in grain. The cooperative performs a substantial amount of testing to determine what
seed types produce the greatest yields. Recently, the cooperative tested three types of corn seed on test
plots. The following values were observed after the first test year:
Seed Type A
109
Seed Type B
Seed Type C
Mean Bushels/Acre
68
98
Standard Deviation
16
15
25
(A) Based on the results of this testing, which seed seems to produce the greatest average yield per acre?
Comment on the type of testing controls that should have been used to make this study valid.
(B) Suppose the company is interested in consistency. Which seed type shows the least relative variability?
(C) Assuming the Empirical Rule (bell-shape) applies, describe the production distribution for each of the
three seed types.
(D) Suppose you were a farmer and had to obtain at least 145 bushels per acre to escape bankruptcy.
Which seed type would you plant? Explain your choice.
(E) Rework your answer to part d assuming the farmer needed 124 bushels per acre instead.
Transcribed Image Text:11. The Dakota Farm Cooperative owns and leases prime farmland in the upper Midwest. Most of its 34,000 acres are planted in grain. The cooperative performs a substantial amount of testing to determine what seed types produce the greatest yields. Recently, the cooperative tested three types of corn seed on test plots. The following values were observed after the first test year: Seed Type A 109 Seed Type B Seed Type C Mean Bushels/Acre 68 98 Standard Deviation 16 15 25 (A) Based on the results of this testing, which seed seems to produce the greatest average yield per acre? Comment on the type of testing controls that should have been used to make this study valid. (B) Suppose the company is interested in consistency. Which seed type shows the least relative variability? (C) Assuming the Empirical Rule (bell-shape) applies, describe the production distribution for each of the three seed types. (D) Suppose you were a farmer and had to obtain at least 145 bushels per acre to escape bankruptcy. Which seed type would you plant? Explain your choice. (E) Rework your answer to part d assuming the farmer needed 124 bushels per acre instead.
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