# An analysis of variance produces SS_(total)=40 and SS_(within)=10. For rhis analysis, what is SS_(between)? a) 30 b) 400 c) Cannot be determined grom the information given d) 50

Question
Analysis
An analysis of variance produces $$\displaystyle{S}{S}_{{\to{t}{a}{l}}}={40}$$ and $$\displaystyle{S}{S}_{{{w}{i}{t}{h}\in}}={10}$$. For rhis analysis, what is $$\displaystyle{S}{S}_{{{b}{e}{t}{w}{e}{e}{n}}}$$?
a) 30
b) 400
c) Cannot be determined grom the information given
d) 50

2020-10-27
$$\displaystyle{S}{S}_{{{b}{e}{t}{w}{e}{e}{n}}}={S}{S}_{{\to{t}{a}{l}}}-{S}{S}_{{{w}{i}{t}{h}\in}}$$
$$\displaystyle{S}{S}_{{{b}{e}{t}{w}{e}{e}{n}}}={40}-{10}$$
$$\displaystyle{S}{S}_{{{b}{e}{t}{w}{e}{e}{n}}}={30}$$

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