Question

State the Null and Alternative Hypotheses using population parameters.

A fourth grade class is studying the environment. One of their projects is to grow bean plants in 3 different soils. 100 plants each are planted in soil mixed with dryer lint, soil mixed with fertilizer and soil with nothing added. At the end of the growing period, 5 plants from each soil type were measured (in inches) producing the data in the table below. We will test the claim that there is no difference in mean bean plant height among each of the 3 soil types using a 5% significance level. (Assume that independent samples were drawn from normal populations with equal variances.) Soil with Dryer Lint Soil with Fertilizer Plain Soil 23 18 21 29 19 26 25 23 27 24 19 27 19 14 31

Answer 1

Solution:

Null Hypothesis: H0 : mu1= mu2= mu3 = mu

ie; There is no difference in mean bean plant height among each of the three soil types.

Alternative Hypothesis: At least two of the means mu1, mu2, mu3 are different.