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A researcher records the following data for each of three groups. Group A Group B Group...

A researcher records the following data for each of three groups.

Group A Group B Group C
9 12 7
13 14 2
11 4 11
6 5 12
6 10 13


What is the value of the F-statistic? (Round your answer to two decimal places.)
F =

math   Statistics-And-Probability   
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Answer #1

One factor ANOVA Mean n Std. Dev 9.0 5 3.08 GROUPA 9.0 54.36 GROUPB 9.0 5 4.53GROUPC 9.0 15 3.74 Total ANOVA table Source Treatment Error Total MS 0.00 2 0.000 196.00 12 16.333 lue 0.00 1.0000 SS df 196.00 14 Comparison of Groups 16.0 14.0 12.0 10.0 8.0 6.0 2.0 0.0 GROUPA GROUPEB GROUPC

step l null hypothesis ho : μ1 μ2 μ3 alternative hypothesis : #μ2 #μ3 step 2 degrees of freedom between k - 1 - 3 - 1I 2 degrees of freedom withinn - k15 - 3 12 step 3 arand meana /n9+949/39 sst Σ xi -grandmean)^2 = 〈9.9)-2 + (B-9)^2 + (11.9)-2 + & so on 1% ss within : Σ (xi-mean of xi ^2./9-9)-2 + (3-9)-2 + (11-9)-2 + & so on 49G step 4 mean square between - ss between / df between - 0/2-O mean square within ss within / df within 19ОЛ2 1C333 step 5 f ca ms between/ms within 0G333O we got f call O

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