The following data represent the absorption of moisture in c

The following data represent the absorption of moisture in concrete aggregates of three different treatments Test the hypothesis that the three treatments have the same mean absorption of moisture. Use a = 0.05 show the ANOVA table

Solution

Set up hypotheses as

H0: All 3 treatement same average of moisture

Ha: At least 2 has different.

Alpha = 0.05

p value =0.8428

As p >0.05 accept null hypothesis.

Hence conclusion is all groups have same mean.

		Anova table
	x1	x2	x3	Total
n	4	4	4	12
Mean	469	473	457.5	466.5
std dev	29.821	41.777	42.814
std error	14.821	20.889	21.407
	ANOVA Result
	SS	df	MS	F
Between	518	2	259	0.1743
Within	13371	9	1485.67
Total	13889	11