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.
-Which of the following statements is (are) true about the sampling distribution of the sample mean?
A) The sampling distribution follows the Normal model with a mean of 0.68 and a standard deviation of 2.3.
B) The sampling distribution follows the Normal model with a mean of 20.5 and a standard deviation of 0.42.
C) The sampling distribution follows the Normal model with a mean of 0.68 and a standard deviation of 0.077.
D) The sampling distribution follows the Normal model with a mean of 3.74 and a standard deviation of 2.3.
E) The sampling distribution follows the Normal model with a mean of 3.74 and a standard deviation of 0.077.

Question

Quizplus · Accepted Answer

The sampling distribution of the sample mean will have the same mean as the population mean (20.5) and a standard deviation equal to the population standard deviation (2.3) divided by the square root of the sample size (30), which is approximately 0.42.

Consider the Following to Answer the Question(s) Below