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The State Department of Weights and Measures Is Responsible for Making

question 102

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The State Department of Weights and Measures is responsible for making sure that commercial weighing and measuring devices,such as scales,are accurate so customers and businesses are not cheated.Periodically,employees of the department go to businesses and test their scales.For example,a dairy bottles milk in 1-gallon containers.Suppose that if the filling process is working correctly,the mean volume of all gallon containers is 1.00 gallon with a standard deviation equal to 0.10 gallons.The department's test process requires that they select a random sample of n = 9 containers.If the sample mean is less than 0.97 gallons,the department will fine the dairy.Based on this information,what is the probability that the dairy will get fined even when its filling process is working correctly?


Definitions:

Defense Mechanisms

Strategies the ego uses to defend itself against the anxiety provoked by conflicts of everyday life. Defense mechanisms involve denials or distortions of reality.

Projection

A psychological defense mechanism where an individual attributes their own unacceptable thoughts, feelings, or motives onto someone else.

Reaction Formation

A defense mechanism that involves expressing an id impulse that is the opposite of the one that is truly driving the person.

Sublimation

A defense mechanism that involves altering or displacing id impulses by diverting instinctual energy into socially acceptable behaviors.

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