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Decide Whether Applying One-Standard-Deviation Chi-Square Procedures to the Given Data

Question 10

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Decide whether applying one-standard-deviation chi-square procedures to the given data appears reasonable. Explainyour answer.
-A machine that fills soda bottles is supposed to fill them to a mean volume of 16.2 fluid ounces. A random sample of 20 filled bottles produced the following volumes in fluid ounces: 16.315.916.715.317.116.43.915.916.23.416.48.215.516.516.016.315.816.716.515.5\begin{array} { l l l l l l l l l l } 16.3 & 15.9 & 16.7 & 15.3 & 17.1 & 16.4 & 3.9 & 15.9 & 16.2 & 3.4 \\ 16.4 & 8.2 & 15.5 & 16.5 & 16.0 & 16.3 & 15.8 & 16.7 & 16.5 & 15.5 \end{array}

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A histogram of the data is given below. ...

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