Consider this scenario:  A cereal-packing company where the content of cereal boxes must have a mean of 368 grams to satisfy the labeling on the box. Because it is expensive to weigh every box produced at the factory, a sample of boxes is used to estimate the actual mean. After analyzing the data sample, the operations manager must decide whether or not the manufacturing process is working as expected. Suppose a sample of 49 boxes is taken from thousands produced during an 8-hour shift and the standard deviation (σ) of the cereal-filling process is 15, what is the standard error of the mean? Use the equation, σX̅   = σ /(square-root of n), where n is the sample size.  Enter your result as a value with one digit after the decimal point (e.g. 1.7).

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Consider this scenario:  A cereal-packing company where the content of cereal boxes must have a mean of 368 grams to satisfy the labeling on the box. Because it is expensive to weigh every box produced at the factory, a sample of boxes is used to estimate the actual mean. After analyzing the data sample, the operations manager must decide whether or not the manufacturing process is working as expected.

Suppose a sample of 49 boxes is taken from thousands produced during an 8-hour shift and the standard deviation (σ) of the cereal-filling process is 15, what is the standard error of the mean? Use the equation, σX̅   = σ /(square-root of n), where n is the sample size.  Enter your result as a value with one digit after the decimal point (e.g. 1.7).

 

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