The Weight of a Product Is Measured in Pounds $\bar { X }$

question 35

Multiple Choice

The weight of a product is measured in pounds.A sample of 50 units is taken from a batch.The sample yielded $\bar { X }$
= 75 lbs. ,and we know that ?² = 100 lbs.Calculate a 99 percent confidence interval for ?.

• A) \([ 71.36\)\( \quad\)\( \quad\)\(78.64 ]\)
• B) \([ 74.25\)\( \quad\)\( \quad\)\(75.75 ]\)
• C) \(\left[ \begin{array} { l l }
• 38.58 & 111.42
• \end{array} \right]\)
• D) \(\left[ \begin{array} { l l }
• 71.71 & 78.29
• \end{array} \right]\)

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Definitions:

Social Identity Theory

A psychological theory proposing that people derive part of their identity from the social groups to which they belong, influencing their behavior and attitudes.

System Justification Theory

A theory suggesting that people have a psychological tendency to defend, uphold, and justify the status quo, even at the expense of personal or group interest.

Illegitimate System

A system or structure of authority that is not recognized as lawful or officially justified.

Unstable System

A system that lacks equilibrium or consistency, characterized by frequent changes or unpredictability.