Consider the bottle-filling experiment in Example 6-1. Suppose that the percentage of carbonation (A) is a noise

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Consider the bottle-filling experiment in Example 6-1. Suppose that the percentage of carbonation (A) is a noise variable (in coded units σ2z = 1).

(a) Fit the response model to these data. Is there a robust design problem?

(b) Find the mean model and either the variance model or the POE.

(c) Find a set of conditions that result in mean fill deviation as close to zero as possible with minimum transmitted variance.

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