SOLUTION: The following data represents the number of units produced by four operators during three different shifts : Shifts Operator A B C D I 10 8 12 13 II 10 12 14 15 III 12 10 11

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Question 878246: The following data represents the number of units produced by four operators during three different shifts :
Shifts Operator
A B C D
I 10 8 12 13
II 10 12 14 15
III 12 10 11 14
Perform a two-way analysis of variance and interpret the result.
Answer by ewatrrr(24785) About Me  (Show Source):
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M1 vs M2 nonsignificant
M1 vs M3 nonsignificant
M1 vs M4 nonsignificant
M2 vs M3 nonsignificant
M2 vs M4 P<.05
M3 vs M4 nonsignificant
M2 vs M4: t+=%2814-10%29%2Fsqrt%281%2F3%2B+2%2F3%29+=+4
p-value = 2*P(t> 4 when df = 4) = 2*tcdf(4,100,4) = 0.02
.02 < .05
and for example
M1 vs M2: t+=%2810.6667+-+10%29%2Fsqrt%281.1547%2F3%2B+2%2F3%29=+.65
p-value = 2*P(t> .65 when df = 4) = 2*tcdf(.65,100,4) = 2*.28