A lawnsod farmer is interested in optimizing the application

A lawn-sod farmer is interested in optimizing the application of fertilizer. He wants to test two fertilizing schemes in which the total dosage is the same but the quantities applied and the fertilizing frequencies have been varied. There may be some differences in the existing fertility of the pareels so he selected five 200 acre pareels all seeded with the same variety of grass mix and divided each in half. The treatments were randomly applied in pairs to the halves. The observations represent the number of square yards of marketable sod from each 100 square yard plot. Is there a difference in sod yield between the two methods?

Solution

this is a 2 tailed test because it can be one variable greater than the other or lower than the other

so

alpha / 2 = 0.025

df = 4

critical values : +/-2.776+

and we have t = -4.83

so our conclusion is

reject Ho

because T < critical value

there is a difference in sod yield between the 2 methods