Question

A researcher wishes to test for a difference in mean weights of a single species of fish caught by fishermen in three different rivers in Yukon. The significance level for the test will be 0.05.Find the missing Values in ANOVA table:

Source	SS	d.f.	MS	F
Treatment	17.04	------	8.52	5.392
Error	14.19	9	1.58
Total	-------	11

		df(Treatment) = 8, SS(total) = 2.85
		df(Treatment) = 20, SS(total) = 3.23
		df(Treatment) = 1, SS(total) = 2.85
		df(Treatment) = 2, SS(total) = 31.23

Answer 1

Given:

A researcher wishes to test for a difference in mean weights of a single species of fish caught by fishermen in three different rivers in Yukon.

ANOVA table:

Source	SS	d.f.	MS	F
Treatment	17.04	2	8.52	5.392
Error	14.19	9	1.58
Total	31.23	11

df (treatment ) = df(total) -df(error) = 11-9 = 2

SS(total) = SS (treatment ) +SS (error) = 17.04+14.19 = 31.23

df(Treatment) = 2, SS(total) = 31.23

Answer - option D

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