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According to an Advertisement, a Strain of Soybeans Planted on Soil

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Essay

According to an advertisement, a strain of soybeans planted on soil prepared with a specified fertilizer treatment has a mean yield of 103 bushels per acre. Fifteen farmers who belong to a cooperative plant the soybeans in soil prepared as specified. Each uses a 40 -acre plot and records the mean yield per acre. The mean and variance for the sample of the 15 farms are xˉ=88\bar { x } = 88 and s2=10,125s ^ { 2 } = 10,125 . Find the rejection region used for determining if the mean yield for the soybeans is not equal to 103 bushels per acre. Use α=.05\alpha = .05 .
Answer: The rejection region requires α/2=.05/2=.025\alpha / 2 = .05 / 2 = .025 in both tails of the tt distribution with df=n1=151=14\mathrm { df } = n - 1 = 15 - 1 = 14 . The rejection region is t>2.145t > 2.145 or t<2.145t < - 2.145 .

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Definitions:

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A legal or contractual option that allows an entity to give up rights to an asset without any obligations.

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