A study was done to see which of four machines is fastest in performing a certain task. There are three operators; each performs the task twice on each machine. A randomized block design is employed. The MÌNITAB output follows. Source DF MS Machine (i) (iv) (vii) (xi) (xii) 257.678 592.428 (iii) (vi) (x) 0.021 Block (v) (ix) 17.986 0.000 Interaction (viii) 215.836 0.933 Епог Total 1096.646 Fill in the missing numbers (1) through (xii) in the output. Does the output indicate that the assumptions for the randomized block design are satisfied? Explain. Can you conclude that there are differences among the machines? Explain. a. b.

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A study was done to see which of four machines is fastest in performing a certain task.
There are three operators; each performs the task twice on each machine. A randomized
block design is employed. The MÌNITAB output follows.
Source
DF
MS
Machine
(i)
(iv)
(vii)
(xi)
(xii)
257.678
592.428
(iii)
(vi)
(x)
0.021
Block
(v)
(ix)
17.986
0.000
Interaction
(viii)
215.836
0.933
Епог
Total
1096.646
Fill in the missing numbers (1) through (xii) in the output.
Does the output indicate that the assumptions for the randomized block design are
satisfied? Explain.
Can you conclude that there are differences among the machines? Explain.
a.
b.
Transcribed Image Text:A study was done to see which of four machines is fastest in performing a certain task. There are three operators; each performs the task twice on each machine. A randomized block design is employed. The MÌNITAB output follows. Source DF MS Machine (i) (iv) (vii) (xi) (xii) 257.678 592.428 (iii) (vi) (x) 0.021 Block (v) (ix) 17.986 0.000 Interaction (viii) 215.836 0.933 Епог Total 1096.646 Fill in the missing numbers (1) through (xii) in the output. Does the output indicate that the assumptions for the randomized block design are satisfied? Explain. Can you conclude that there are differences among the machines? Explain. a. b.
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