A Bottling Company Produces Bottles That Hold 12 Ounces of Liquid

question 59

Multiple Choice

A bottling company produces bottles that hold 12 ounces of liquid. Periodically, the company gets complaints that their bottles are not holding enough liquid. To test this claim, the bottling company randomly samples 64 bottles and finds the average amount of liquid held by the bottles is 11.9155 ounces with a standard deviation of 0.40 ounce. Suppose the p-value of this test is 0.0455. State the proper conclusion.

• A) At \(\alpha = 0.10\), fail to reject the null hypothesis.
• B) At \(\alpha = 0.025\), reject the null hypothesis.
• C) At \(\alpha = 0.05\), accept the null hypothesis.
• D) At \(\alpha = 0.05\), reject the null hypothesis.

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Definitions:

Shape Constancy

The perceptual phenomenon by which we recognize objects as having a constant shape despite changes in the angle of vision, distance, and lighting.

Interposition

A visual cue in depth perception where one object partially covers another, suggesting that the covering object is closer to the viewer.

Figure-Ground Relationship

A visual perception concept that describes how humans separate an object (the figure) from its surrounding area (the ground).

Perception

The organization, identification, and interpretation of sensory information to understand the environment.