The owner of a local golf course wanted to determine the average age (in years) of the golfers that played on the course. In a random sample of 27 golfers that visited his course, the sample mean was 32.1 years old and the standard deviation was 9.92 years. Using this information, the owner calculated the confidence interval of (28.2, 36) with a confidence level of 95% for the average age. Which of the following is an appropriate interpretation of this confidence interval? ○ 1) We are certain that 95% of the average ages of all golfers will be between 28.2 and 36 years old. 2) We cannot determine the proper interpretation of this interval. 3) 4) 5) We are 95% confident that the proportion of the ages of all golfers is between 28.2 and 36 years old. We are 95% confident that the average age of the golfers surveyed is between 28.2 and 36 years old. We are 95% confident that the average age of all golfers that play on the golf course is between 28.2 and 36 years old.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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The owner of a local golf course wanted to determine the average age (in years) of
the golfers that played on the course. In a random sample of 27 golfers that visited
his course, the sample mean was 32.1 years old and the standard deviation was 9.92
years. Using this information, the owner calculated the confidence interval of (28.2,
36) with a confidence level of 95% for the average age. Which of the following is an
appropriate interpretation of this confidence interval?
○ 1)
We are certain that 95% of the average ages of all golfers will be between
28.2 and 36 years old.
2) We cannot determine the proper interpretation of this interval.
3)
4)
5)
We are 95% confident that the proportion of the ages of all golfers is
between 28.2 and 36 years old.
We are 95% confident that the average age of the golfers surveyed is
between 28.2 and 36 years old.
We are 95% confident that the average age of all golfers that play on the golf
course is between 28.2 and 36 years old.
Transcribed Image Text:The owner of a local golf course wanted to determine the average age (in years) of the golfers that played on the course. In a random sample of 27 golfers that visited his course, the sample mean was 32.1 years old and the standard deviation was 9.92 years. Using this information, the owner calculated the confidence interval of (28.2, 36) with a confidence level of 95% for the average age. Which of the following is an appropriate interpretation of this confidence interval? ○ 1) We are certain that 95% of the average ages of all golfers will be between 28.2 and 36 years old. 2) We cannot determine the proper interpretation of this interval. 3) 4) 5) We are 95% confident that the proportion of the ages of all golfers is between 28.2 and 36 years old. We are 95% confident that the average age of the golfers surveyed is between 28.2 and 36 years old. We are 95% confident that the average age of all golfers that play on the golf course is between 28.2 and 36 years old.
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