Soil scientists conducted an experiment in which the mineral gypsum was added in four different amounts to soil specimens to try to control the acid level of the soil. Three soil specimens received each amount added. The response variable is pH, which is a measurement of the acid level. The results are as follows, and the TI-84 Plus display presents the results of a one-way ANOVA to determine whether the pH differs with the amount of gypsum added.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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2. Soil scientists conducted an experiment in which the mineral gypsum was added in four different amounts to soil specimens to try to control the acid level of the soil. Three soil specimens received each amount added. The response variable is pH, which is a measurement of the acid level. The results are as follows, and the TI-84 Plus display presents the results of a one-way ANOVA to determine whether the pH differs with the amount of gypsum added.

 

Gypsum Amount

pH

None

7.88 7.72 7.68

Low

7.81 7.64 7.85

Medium

7.84 7.63 7.87

High

7.80 7.73 8.00

 

(a) ConstructanANOVAtable.


(b) Can you conclude that the pH differs with the amount of gypsum added? Use the 0.05 level of significance. (You do not have to show all the steps of the hypothesis test, but explain your decision.)

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