Apply the Central Limit Theorem

question 6

Multiple Choice

Apply the Central Limit Theorem.
-In a metal fabrication process, metal rods are produced that have an average length of 20.5 feet with a standard deviation of 2.3 feet. 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 feet and standard
Deviation of 0.42. 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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