Consider the cloth experiment described in Exercise 13-35.

(a) Estimate the total variability in the output response.

(b) How much of the total variability in the output response is due to the difference between looms?

(c) To what level could the variability in the output response be reduced if the loom-to-loom variability could be eliminated? Do you believe this is a significant reduction?

Exercise 13-35

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, five looms are chosen at random, and their output is measured at different times. The following data are obtained:

Loom Output (Ib/min) 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 3.8 3.6 3.9 3.8 4.0