Testing a Claim about a Difference between Means — Quiz
Question 7 • Statistics
A student claims that professional male basketball players are taller, on average, than college male basketball players. To investigate this claim, the student selects a random sample of 30 professional basketball players and 30 college basketball players. The mean height of the sample of professional male basketball players is 76 inches with a standard deviation of 3 point 5 inches. The mean height of the sample of college male basketball players is 74 point 5 inches with a standard deviation of 5 point 5 inches. The student would like to determine if there is convincing evidence that the true mean height of all professional male basketball players is greater than the true mean height of all college male basketball players. Let mu sub 1 is equal to the true mean height of all professional male basketball players and mu sub 2 is equal to the true mean height of all college male basketball players. Are the conditions for inference met?
Answer
A
No, the Normal/large sample condition is not met.
B
Yes, all of the conditions for inference have been met.
C
No, the 10 percent condition is not met.
D
No, the random condition is not met.
Explanation
The samples were selected randomly, so the random condition is met. Each sample has 30 players, which is large enough for the large-sample condition, and 30 is less than 10% of the professional and college player populations, so the 10% condition is met as well. Therefore, all the conditions for inference are met: choice B.
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