Apply the Central Limit Theorem

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.