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 12 men and 10 women that play on his course. He finds the average age of the men to be 30.81 with a standard deviation of 5.071. The average age of the women was 46.19 with a standard deviation of 11.982. Construct a 95% confidence interval to estimate the difference of (average age of men - average age of women). Assume the population standard deviations are the same. Question 8 options:

1) (-85.72, 54.96)

2) (-19.18, -11.58)

3) We only have the sample means, we need to know the population means in order to calculate a confidence interval.

4) (-22.83, -7.93)

5) (-23.31, -7.45)

Answer 1