Use the following to answer the question(s) below.
IT staff for a large corporation has developed the following probability distribution for the number of calls requiring troubleshooting problems per day.

-If a population is normally distributed with µ = 500 and σ = 50, and a sample of size 20 is selected, the probability that the sample mean falls between 450 and 550 will be ________ the probability that an individual value falls between 450 and 550.
A) the same as
B) less than
C) greater than
D) less than or the same as
E) approximately the same as

Question

Use the following to answer the question(s) below.
IT staff for a large corporation has developed the following probability distribution for the number of calls requiring troubleshooting problems per day.

-If a population is normally distributed with µ = 500 and σ = 50, and a sample of size 20 is selected, the probability that the sample mean falls between 450 and 550 will be ________ the probability that an individual value falls between 450 and 550.
A) the same as 
B) less than 
C) greater than 
D) less than or the same as 
E) approximately the same as

Quizplus · Accepted Answer

The probability that the sample mean falls between 450 and 550 will be greater than the probability that an individual value falls between 450 and 550 because the sample mean is less variable than individual values due to the central limit theorem.

Use the Following to Answer the Question(s) Below