TABLE 12-14 A Filling Machine at a Local Soft Drinks Company Is

question 44

Essay

TABLE 12-14
A filling machine at a local soft drinks company is calibrated to fill the cans at an average amount of 12 fluid ounces and a standard deviation of 0.5 ounces. The company wants to test whether the standard deviation of the amount filled by the machine is indeed 0.5 ounces. A random sample of 15 cans filled by the machine reveals a standard deviation of 0.67 ounces.
-Referring to Table 12-14, what are the lower and upper critical values of the test when allowing for 5% probability of committing a type I error?

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Definitions:

Engineering Method

A systematic approach to planning, designing, and managing projects by applying engineering principles and practices.

Least Squares

A mathematical method used to find the best-fitting curve to a given set of points by minimizing the sum of the squares of the offsets ("the residuals") of the points from the curve.

Cost Estimation

The process of forecasting the costs associated with a project or production process before it begins.

Regression Analysis

Regression analysis is a statistical method used to examine the relationship between one dependent variable and one or more independent variables, predicting the former based on the latter.