2 10 pts Given the following data drawn from three normal po

2. (10 pts) Given the following data drawn from three normal populations: (a) Test at 1% level that the population means of all 3 groups are the same. (b) By constructing 95% Tukey?s and Fisher?s intervals to test the pairwise subhypotheses of 3 groups.

Solution

H0: All means are equal

Ha: ATleast two are different

P value = 0.07348

Alpha = 0.01

As p > alpha, acceptnull hypothesis.

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	x1	x2	x3	Total
Number	5	6	4	15
Mean	12	12	16	13.33
Std dev	3.391	1.789	2.944
std error	1.517	0.73	1.472
	Anova table
	SS	Df	MS	F
Between	47.9735	2	23.98675	3.2709
Within	88	12	7.3333
Total	135.9735	14