# Question The average yield of the standard variety off soybeans per acre on a farm in a region is 48.8 bushels per acre, with a standard deviation of 12.0 bushels per acre. We have developed a new variety of soybean that we believe will have a higher mean yield per acre. To test this, we draw a random sample of 36 one-acre plots from the region, plant the new variety of soybean, and compute the sample mean yield per acre. The sample mean yield per acre is 53.4 bushels. Carry out the test at the 0.01 level of significance. (You can assume that yields per acre are approximately normally distributed.) Follow all steps clearly and write a clear conclusion. Include all necessary conditions check and show all your working.

EI0TFK The Asker · Other Mathematics

# The average yield of the standard variety off soybeans per acreon a farm in a...

The average yield of the standard variety off soybeans per acreon a farm in a region is 48.8 bushels per acre, with a standarddeviation of 12.0 bushels per acre. We have developed a new varietyof soybean that we believe will have a higher mean yield per acre.To test this, we draw a random sample of 36 one-acre plots from theregion, plant the new variety of soybean, and compute the samplemean yield per acre. The sample mean yield per acre is 53.4bushels. Carry out the test at the 0.01 level of significance. (Youcan assume that yields per acre are approximately normallydistributed.) Follow all steps clearly and write a clearconclusion. Include all necessary conditions check and show allyour working.

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