4
AssignmentMultiple Choice
Using the Central Limit Theorem
Question 4 • CA-Statistics and Probability B
We wanted to know what the probability that the sample mean height of the professional basketball players is less than the sample mean height of the American men. We found that is approximately 0. What is the correct interpretation of this probability?
Answer
A
It is nearly impossible that the height of the population of all male professional basketball players is less than the height of the population of all American men.B
It is nearly impossible to select a random sample of 25 professional basketball players and a random sample of 50 American men and find that the sample mean height of the American men is greater than the sample mean height of the professional basketball players.C
It is nearly impossible that a randomly selected male professional basketball player will be shorter than a randomly selected American man.D
This proves that for any random sample of 25 professional basketball players and any random sample of 50 American men that the sample mean height of the American men will always be less than the sample mean height of the male professional basketball players.