Suppose you want to determine the average height of basketball players in the NC

Question

Suppose you want to determine the average height of basketball players in the NCAA Division I. In a random sample of 27 players, the sample average is 72.01 inches with a standard deviation of 5.003 inches. A 90% confidence interval for the average height is (70.368, 73.652). Which of the following is an appropriate interpretation of this interval?

Question 12 options:

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1) We are 90% confident that the average height of all NCAA D-I basketball players surveyed is between 70.368 and 73.652. 2) We are certain that 90% of the average heights of all basketball players will be between 70.368 and 73.652. 3) We are 90% confident that the average height of all NCAA D-I basketball players is between 70.368 and 73.652. 4) We are 90% confident that the proportion of all NCAA D-I basketball players heights are between 70.368 and 73.652. 5) We cannot determine the proper interpretation of this interval.

Explanation / Answer

Note that a confidence interval is for all the population, not just the sample.

Hence,

OPTION 3: We are 90% confident that the average height of all NCAA D-I basketball players is between 70.368 and 73.652. [ANSWER, OPTION 3]

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