12.63 A farmer wants to determine the effect of five different concentrations of lime on the pH (acidity)

of the soil on a farm. Fifteen soil samples are to be used in the experiment, five from each of the three different locations. The five soil samples from each location are then randomly assigned to the five concentrations of lime, and one week after the lime is applied the pH of the soil is measured. The data are shown in the table below.

a What type of experimental design was used here?

b Do the data provide sufficient evidence to indicate that the five concentrations of lime have different mean soil pH levels? Use 0.05.
c Is there evidence of a difference in soil pH levels among locations? Test by using .

Transcribed Image Text:

Lime Concentration Location 0 1 2 3 4 I 3.2 3.6 3.9 4.0 4.1 3.6 3.7 4.2 4.3 4.3 III 3.5 2.9 4.0 3.9 4.2