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A textile mill has a large number of looms.Each loom is supposed to provide the same output of cloth per minute. To investigate this assumption,

  1. A textile mill has a large number of looms.Each loom is supposed to provide the same output of cloth per minute. To investigate this assumption, ve looms are chosen at random, and their output is measured at dierent times. The fol- lowing data are obtained:

Loom Output (lb/min)

1 4.0 4.1 4.2 4.0 4.1

2 3.9 3.8 3.9 4.0 4.0

3 4.1 4.2 4.1 4.0 3.9

4 3.6 3.8 4.0 3.9 3.7

5 3.8 3.6 3.9 3.8 4.0

  1. Are the looms similar in output? Use = 0.05.
  2. Estimate the variability between looms.
  3. Estimate the experimental error variance.
  4. Analyze the residuals from this experiment and check for model adequacy.

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