The owner of a local golf course wants to estimate the difference between the av

Question

The owner of a local golf course wants to estimate the difference between the average ages of males and females that play on the golf course. He randomly samples 23 men and 21 women that play on his course. He finds the average age of the men to be 40.153 with a standard deviation of 9.981. The average age of the women was 40.77 with a standard deviation of 7.319. He uses this information to calculate a 90% confidence interval for the difference in means, (-5.091, 3.857). The best interpretation of this interval is which of the following statements? 1) We do not know the population means so we do not have enough information to make an interpretation. 2) We are 90% confident that the difference between the average age of all men and all women who play golf at the course is between -5.091 and 3.857 3) we are 90% sure that the average age difference between all males and females is between -5.091 and 3.857. 4) We are 90% confident that the difference between the average age of the men and women surveyed is between 5.091 and 3.857 5) We are certain that the difference between the average age of all men and all women is between -5.091 and 3.857.

Explanation / Answer

Given that,

90% confidence interval for diference in means of men and women age is (-5.091, 3.857)

Thus conclusion is,

Answer: 2) we are 90% confident that the difference between the average age of all men and all women who play golf at the course is between -5.091 and 3.857

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