A manufacturer of sunflower oil uses machines to distribute liquid ingredients into bottles that move along a filling line. The machine that distributes is working properly when 8 ounces are distributed. Suppose that the average amount distributed in a particular sample of 30 bottles is 7.91 ounces. Assume that the variance of the process is known to be 0.03 ounces squared. Is there evidence that the machine should be stopped (when not 8 ounces are distributed), and production wait for repairs? The lost production from a shutdown is potentially so great that management feels that the level of confidence in the analysis should be 99%.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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A manufacturer of sunflower oil uses machines to distribute liquid ingredients into bottles that
move along a filling line. The machine that distributes is working properly when 8 ounces are distributed.
Suppose that the average amount distributed in a particular sample of 30 bottles is 7.91 ounces. Assume that the
variance of the process is known to be 0.03 ounces squared. Is there evidence that the machine should be stopped
(when not 8 ounces are distributed), and production wait for repairs? The lost production from a shutdown is
potentially so great that management feels that the level of confidence in the analysis should be 99%.
Transcribed Image Text:A manufacturer of sunflower oil uses machines to distribute liquid ingredients into bottles that move along a filling line. The machine that distributes is working properly when 8 ounces are distributed. Suppose that the average amount distributed in a particular sample of 30 bottles is 7.91 ounces. Assume that the variance of the process is known to be 0.03 ounces squared. Is there evidence that the machine should be stopped (when not 8 ounces are distributed), and production wait for repairs? The lost production from a shutdown is potentially so great that management feels that the level of confidence in the analysis should be 99%.
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