The data shown in the table represent the measurements of 10-kΩ resistors (in kΩ) produced from five different machines. A random sample of nine resistors from each machine is taken to determine whether the mean resistance varies from one machine to another. Perform analysis of variance and test the hypothesis at the 0.05 level of significance that the mean resistances differ significantly for the five machines, all through manual computations. Show all complete and systematic solutions.

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Problem 37E: Find the positive geometric mean between 4 and 64.
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The data shown in the table represent the measurements of 10-kΩ resistors (in kΩ) produced from five different machines. A random sample of nine resistors from each machine is taken to determine whether the mean resistance varies from one machine to another.

Perform analysis of variance and test the hypothesis at the 0.05 level of significance that the mean resistances differ significantly for the five machines, all through manual computations. Show all complete and systematic solutions. 

Machine
1
2
3
4
9.63
9.71
10.06
10.03
10.23
10.36
9.51
9.92
10.34
10.32
10.01
10.17
9.84
9.90
10.43
9.80
10.18
9.80
9.71
10.17
9.84
10.08
10.14
9.42
10.27
9.77
10.16
10.03
10.06
9.82
10.31
9.74
10.16
9.92
10.39
9.78
10.18
10.30
9.96
10.71
10.02
9.85
10.43
9.86
10.52
Transcribed Image Text:Machine 1 2 3 4 9.63 9.71 10.06 10.03 10.23 10.36 9.51 9.92 10.34 10.32 10.01 10.17 9.84 9.90 10.43 9.80 10.18 9.80 9.71 10.17 9.84 10.08 10.14 9.42 10.27 9.77 10.16 10.03 10.06 9.82 10.31 9.74 10.16 9.92 10.39 9.78 10.18 10.30 9.96 10.71 10.02 9.85 10.43 9.86 10.52
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