$$\text { TABLE 12-14 }$$ A Filling Machine at a Local Soft Drinks Company Is

question 132

True/False

$$\text { TABLE 12-14 }$$ 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, in order to perform the test, we need to assume that the amount filled by the machine has a normal distribution.

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Definitions:

Type II Error

The error made by failing to reject a false null hypothesis, also known as a "false negative."

Type I Error

The mistaken dismissal of an accurate null hypothesis, frequently referred to as a false positive.

Effect Size

A quantitative measure of the strength of a phenomenon, used to indicate the magnitude of a difference or relationship within the context of a statistical analysis.

T-Tests

Statistical tests used to compare the means of two groups to see if there is a significant difference between them.