A horticulturist wants to test the effectiveness of four types of fertilizer on the growth rate of Bermuda grass.Six sections of grass are randomly assigned to each of the four fertilizer types,and the rate of growth for each section is measured.
A)H0: μ1 = μ2 = μ3 = μ4 vs.the alternative that not all fertilizer mean growth rates are equal
B)H0: μ1 ≠ μ2 ≠ μ3 ≠ μ4 ≠ μ5 ≠ μ6 vs.the alternative that all six section means are equal
C)H0: μ1 = μ2 = μ3 = μ4 = μ5 = μ6 vs.the alternative that not all six section means are equal
D)H0: μ1 ≠ μ2 ≠ μ3 ≠ μ4 vs.the alternative that all fertilizer mean growth rates are equal
E)H0: μfert ≠ μsection vs.the alternative that the fertilizer and section means are equal

Question

Quizplus · Accepted Answer

The correct hypothesis for testing the effectiveness of four types of fertilizer on the growth rate of Bermuda grass, where the interest is in comparing the mean growth rates across the different fertilizers, is to set up a null hypothesis that all fertilizer mean growth rates are equal against an alternative hypothesis that not all fertilizer mean growth rates are equal. This is a typical setup for an ANOVA test, which is used to compare means across multiple groups.

A Horticulturist Wants to Test the Effectiveness of Four Types