According to an advertisement, a strain of soybeans planted on soil prepared with a specified fertilizer treatment has a mean yield of 528 bushels per acre. Twenty-five 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 25 farms are $\bar { x } = 484$ and $s ^ { 2 } = 9170$. Specify the null and alternative hypotheses used to determine if the mean yield for the soybeans is different than advertised.

Question

Quizplus · Accepted Answer

The Answer is To determine if the mean yield for the soybeans differs from 528 bushels per acre,
we test:

H _ { 0 } : \mu = 528 ext { vs. } H _ { \mathrm { a } } : \mu eq 528

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