Question 8 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 100 boxes is taken from thousands produced during an 8-hour shift and the standard deviation (σ) of the cereal-filling process is 12, 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).

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
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Question 8

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 100 boxes is taken from thousands produced during an 8-hour shift and the standard deviation (σ) of the cereal-filling process is 12, 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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