3 A study presents pH measurements of soil specimens taken f

3) A study presents pH measurements of soil specimens taken from 3 different types of soils. The results are given in the following table Soil type pH Measurements Alluvium 6.53, 6.03, 6.75, 6.82, 6.24 Glacial Till 6.07, 6.07, 5.35, 5.75, 5.48, 5.27, 5.80, 5.03, 6.65 Residuum 6.03, 6.16, 6.63, 6.13, 6.05, 5.68, 6.25, 5.43, 6.46, 6.91, 5.75, 6.53 Can you conclude that these soil types are different for their mean pH levels using ?=0.05 significance level. Write down the null and research hypothesis applied in this ANOVA test.

Solution

Null hypothesis: these soil types are no different for their mean pH levels

Research hypothesis: these soil types are different for their mean pH levels

The test statistic is

F=5.31

The p-value of F test is 0.0127 (from F table)

Since the p-value is less than 0.05, we reject the null hypothesis.

So we can conclude that these soil types are different for their mean pH levels