SOLUTION: The following are the numbers of mistakes made in 4 successive days for 4 technicians working for a photographic laboratory: tI t2 t3 t4 5 13 9 8 13 8 11 11 9 11 6

Question 1011561: The following are the numbers of mistakes made in 4
successive days for 4 technicians working for a
photographic laboratory:
tI t2 t3 t4
5 13 9 8
13 8 11 11
9 11 6 7
10 13 10 10
Test at the level of significance α = 0.0.5 whether the
differences among the 4 samples means can be
attributed to chance
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
SS df MS F p
Between::14.250 3 4.750 1.422 0.285
Within: 40.098 12 3.342
Total: 54.348 15
This was done with the E(x^2)-(E(x))^2
This makes intuitive sense. The difference in the means is not great, and with only 4 samples the likelihood of a significant difference would a priori be low.
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