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A drug company produces capsules that are designed to contain a specified amount of the active ingredient of

a

drug. Each hour, a sample of 25 capsules is selected at random and the average amount of the active ingredient is

determined. When the production process is in control, the mean amount of the active ingredient in the capsules is

μ=150 milligrams and the standard deviation of the amounts is σ=4 milligrams.

Section 14.2 - Control Limits

[Objective: Interpret the results of X-bar and S control charts.]

1. If the control limits for an X-bar chart are set at 148.14 mg and 151.86 mg, what is the probability of a Type I

error?

(a) 0.0210

(b) 0.9785

(c) 0.3545

(d) 0.6455

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