The owner of a local golf course wants to determine the average age of the golfers...

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 63.248. In a random sample of 28 golfers that visited his course, the sample mean was 48.356 and the standard deviation was 6.8424. Using this information, the owner calculated the confidence interval of (45.703, 51.009) with a confidence level of 95%. Which of the following statements is the best conclusion?

Question 10 options:

1) The percentage of golfers with an age greater than 63.248 is 95%.

2) The average age of all golfers does not significantly differ from 63.248.

3) We are 95% confident that the average age of all golfers that play on the golf course is less than 63.248

4) We are 95% confident that the average age of all golfers that play on the golf course is greater than 63.248

5) We cannot determine the proper interpretation based on the information given.

Solutions

Expert Solution

Option - 3 is correct.

orchestra answered 1 year ago

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