# Question

An experiment compared two different fertilizer placements (broadcast, band) and two different rates of fertilizer flow on watermelon yields. Recent research has shown that broadcast application (scattering over the outer area) of fertilizer is superior to bands of fertilizer applied near the seed for watermelon yields. For this experiment, the investigators wished to compare two nitrogen– phosphorus– potassium fertilizers applied ( broadcast and band) at a rate of 160– 70– 135 pounds per acre and including two brands of micronutrients (A and B). These four combinations were to be studied in a Latin square field plot.

The treatments were randomly assigned according to a Latin square design conducted over a large farm plot, which was divided into rows and columns. A watermelon plant dry weight was obtained for each row– column combination 30 days after the emergence of the plants. The data are shown next.

Treatment 1– broadcast, A Treatment 3– band, A

Treatment 2– broadcast, B Treatment 4– band, B

a. Write an appropriate statistical model for this experiment.

b. Use the data to run an analysis of variance. Give the p- value for each test, and draw conclusions.

The treatments were randomly assigned according to a Latin square design conducted over a large farm plot, which was divided into rows and columns. A watermelon plant dry weight was obtained for each row– column combination 30 days after the emergence of the plants. The data are shown next.

Treatment 1– broadcast, A Treatment 3– band, A

Treatment 2– broadcast, B Treatment 4– band, B

a. Write an appropriate statistical model for this experiment.

b. Use the data to run an analysis of variance. Give the p- value for each test, and draw conclusions.

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