Consider the Following to Answer the Question(s) Below

question 22

Multiple Choice

Consider the following to answer the question(s) below:
In a metal fabrication process, metal rods are produced that have an average length of 20.5 metres with a standard deviation of 2.3 metres. A quality control specialist collects a random sample of 30 rods and measures their lengths.
-The sampling distribution of the sample mean lengths is Normally distributed with a mean of 20.5 metres and standard deviation of 0.42 metres. We can say this because

• A) The sample size is not too large.
• B) The Central Limit theorem applies.
• C) The Normal Probability theorem applies.
• D) All of the above
• E) None of the above

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Definitions:

Rational Decision

A rational decision is a choice made by comparing the anticipated outcomes, where the best possible result is selected based on some consistent criterion.

Potential Injury

The possibility of harm or damage that could occur under certain circumstances or due to specific actions.

Security System

A setup of interconnected devices and components designed to protect and monitor premises against burglary, theft, and other unauthorized access.

Basic Postulate

A fundamental assumption or principle that serves as the foundation for a theory, argument, or system of belief.