It is crucial to have a minimum weight difference for each bearing ball before they are assembled into the bearing races. Inspections are constantly being conducted by a factory manager for all production belts to ensure that the bearing balls are in the correct weights. At each round of inspection, five bearing balls are selected randomly from each belt and carefully weighed. A random sample of four inspection belts were selected. The results are as follows: Belt Weight of bearing ball (in grams) 1.22 1.21 1.23 1.20 1 1.22 1.24 1.23 1.22 1.19 1.20 1.19 1.20 1.21 3 1.20 1.20 4 1.19 1.18 1.18 1.18 1.20 a) State an appropriate model and its assumptions. b) By using an ANOVA test, determine whether the weight of bearing balls differs among the production belts? Use a = 0.10.

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It is crucial to have a minimum weight difference for each bearing ball before they are
assembled into the bearing races. Inspections are constantly being conducted by a factory
manager for all production belts to ensure that the bearing balls are in the correct weights.
At each round of inspection, five bearing balls are selected randomly from each belt and
carefully weighed. A random sample of four inspection belts were selected. The results
are as follows:
Belt
Weight of bearing ball (in grams)
1
1.22
1.23
1.22
1.24
1.23
2
1.21
1.20
1.22
1.20
1.20
3
1.20
1.20
1.19
1.19
1.21
4
1.19
1.18
1.18
1.18
1.20
a) State an appropriate model and its assumptions.
b) By using an ANOVA test, determine whether the weight of bearing balls differs among
the production belts? Use a = 0.10.
Transcribed Image Text:It is crucial to have a minimum weight difference for each bearing ball before they are assembled into the bearing races. Inspections are constantly being conducted by a factory manager for all production belts to ensure that the bearing balls are in the correct weights. At each round of inspection, five bearing balls are selected randomly from each belt and carefully weighed. A random sample of four inspection belts were selected. The results are as follows: Belt Weight of bearing ball (in grams) 1 1.22 1.23 1.22 1.24 1.23 2 1.21 1.20 1.22 1.20 1.20 3 1.20 1.20 1.19 1.19 1.21 4 1.19 1.18 1.18 1.18 1.20 a) State an appropriate model and its assumptions. b) By using an ANOVA test, determine whether the weight of bearing balls differs among the production belts? Use a = 0.10.
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