Two Soft Drink Machines Dispense Liquids of 10 Ounces, on the Average

question 252

Short Answer

Two soft drink machines dispense liquids of 10 ounces, on the average. The question is whether the two machines are equally consistent (i.e., equally variable) in the dispensing of the liquid. To answer this question, a sample of size 10 was obtained from each machine and the sample standard deviations were computed to be = 1.87 ounces and = 1.25 ounces. Perform the appropriate test for equality of variances using = 0.05.
Test Statistic = ______________
Reject Region: Reject H₀ if F> ______________
Conclusion: ______________
One ______________ conclude that there is a significant difference in the variability of liquid dispensed between the two machines.

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Definitions:

Perceptual Properties

Attributes of objects that are perceived through the senses, such as color, shape, texture, and size.

Concept

A mental representation or idea of objects, events, or relations, which underpins human knowledge and understanding.

Exemplar View

The exemplar view is a theory of categorization positing that categories are represented by actual category members rather than by an abstract prototype.

Prototype

A standard or typical example that embodies the most common features of a particular category or concept.