Hi. I am trying to solve this one, but I need some help. Could you please answer

Question

Hi. I am trying to solve this one, but I need some help.

Could you please answer this problem?

I will appreciate your help very much! :)

1. The table below shows a partially completed ANOVA Table.

a) How many groups were there?

b) Fill in the rest of the table:

c) What would your conclusion from the one-way ANOVA analysis be? State the hypothesis and the decision/strength of evidence.

Source of Variation sum of squares degrees of freedom (df) Mean square F-statistic p-value Between groups (SSB, which is SST - SSW) M-1 or I-1 MSB = pval <- 1-pf(obsF, M-1, n-M) *This is R code. Within groups 35088 (SSW = Sp2*(n-M) or  Sp2*(n-I)) 24 (n-M) or (n-I) MSW = X X Total 70907 (SST = (n-1)*S2) 31 (n-1) X X X SS l/-1 B

Explanation / Answer

a) number of groups =M=32-24=8

b)

c)null hypothesisL group mean are equal

as p value is less then 0.05; we reject that group mean are equal and conclude that at least 2 group mean are indifferent.

source of variation sum of sq df MS F-stat p-value b/w groups 70907-35088=35819 7 35819/7 =5117 5117/1462=3.5 0.009942 with in group 35088 24 35088/24=1462 total 70907 31

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