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 26 men and 22 women that play on his course. He finds the average age of the men to be 41.025 with a standard deviation of 5.949. The average age of the women was 37.817 with a standard deviation of 7.922. If a 95% confidence interval is calculated to estimate the difference between the two average ages, what is the margin of error? Assume both population standard deviations are equal.
1) 2.005
2) 2.013
3) 4.036
4) 3.366
5) 3.93