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 7 men and 15 women that play on his course. He finds the average age of the men to be 31.58 with a standard deviation of 7.794. The average age of the women was 45.68 with a standard deviation of 11.45. Construct a 90% 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)

(-18.9, -9.3)

2)

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

3)

(-100.94, 72.74)

4)

(-22, -6.2)

5)

(-22.38, -5.82)