Question

Question 7 (1 point)

The owner of a local golf course wants to determine the average age of the golfers that play on the course in relation to the average age in the area. According to the most recent census, the town has an average age of 55.89. In a random sample of 30 golfers that visited his course, the sample mean was 45.84 and the standard deviation was 6.514. Using this information, the owner calculated the confidence interval of (42.56, 49.12) with a confidence level of 99%. Which of the following statements is the best conclusion?

Question 7 options:

	1) We are 99% confident that the average age of all golfers that play on the golf course is greater than 55.89
	2) We are 99% confident that the average age of all golfers that play on the golf course is less than 55.89
	3) The average age of all golfers does not significantly differ from 55.89.
	4) The percentage of golfers with an age greater than 55.89 is 99%.
	5) We cannot determine the proper interpretation based on the information given.

Answer 1

Since the upper limit of confidence interval is below 55.89, the correct conclusion will be:

We are 99% confident that the average age of all golfers that play on the golf course is less than 55.89

Option 2 is correct.