Question

# The owner of a local golf course wants to estimate the difference between the average ages...

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 30 men and 26 women that play on his course. He finds the average age of the men to be 49.844 with a standard deviation of 5.208. The average age of the women was 35.237 with a standard deviation of 5.573. He uses this information to calculate a 95% confidence interval for the difference in means, (11.716, 17.498). The best interpretation of this interval is which of the following statements?

 1) We are 95% confident that the difference between the average age of all men and all women who play golf at the course is between 11.716 and 17.498
 2) We are certain that the difference between the average age of all men and all women is between 11.716 and 17.498.
 3) We do not know the population means so we do not have enough information to make an interpretation.
 4) We are 95% sure that the average age difference between all males and females is between 11.716 and 17.498.
 5) We are 95% confident that the difference between the average age of the men and women surveyed is between 11.716 and 17.498

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