The soup produced by a company has a salt level that is normally distributed with a mean of 5.4 grams and a standard deviation of 0.3 grams. The company takes readings of every 10th bar off the production line. The reading points are 5.8, 5.9, 4.9, 5.2, 5.0, 4.9, 6.2, 5.1, 6.7, 6.1. Is the process in control or out of control and why?

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
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(CO 3) The soup produced by a company has a salt level that is normally distributed with a mean of 5.4 grams and a standard deviation of 0.3 grams. The company takes readings of every 10th bar off the production line. The reading points are 5.8, 5.9, 4.9, 5.2, 5.0, 4.9, 6.2, 5.1, 6.7, 6.1. Is the process in control or out of control and why?

 

Group of answer choices

 

It is out of control as one of these data points is more than 3 standard deviations from the mean

 

It is in control as the data points more than 2 standard deviations from the mean are far apart

 

It is in control as the values jump above and below the mean

 

It is out of control as two of these data points are more than 2 standard deviations from the mean

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