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

question 68

Essay

According to an advertisement, a strain of soybeans planted on soil prepared with a specified fertilizer treatment has a mean yield of 107 bushels per acre. Twenty 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 20 farms are $\bar { x } = 92 \text { and } s ^ { 2 } = 18,000$ . Find the rejection region used for determining if the mean yield for the soybeans is not equal to 107 bushels per acre. Use α = .05.

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Definitions:

Sum Of Squares

A statistical technique used to measure the variability within a dataset, calculated by summing the squared differences from the mean.

Standard Error

The standard deviation of a sampling distribution of a statistic, most commonly of the mean.

Coefficient Of Determination

A statistic that provides a measure of how well observed outcomes are replicated by the model, based on the proportion of total variation of outcomes explained by the model.

Coefficient Of Determination

A statistical measure represented by the symbol R², indicating the proportion of the variance in the dependent variable predictable from the independent variable(s).