Question

The owner of a local golf course wants to examine the difference between the average ages of males and females that play on the golf course. Specifically, he wants to test is if the average age of males is greater than the average age of females. Assuming males are considered group 1 and females are group 2, this means the hypotheses he wants to tests are as follows: Null Hypothesis: μ1 ≤ μ2, Alternative Hypothesis: μ1 > μ2. He randomly samples 28 men and 21 women that play on his course. He finds the average age of the men to be 31.06 with a standard deviation of 17.602. The average age of the women was 33.83 with a standard deviation of 11.825. If the owner conducts a hypothesis test, what is the test statistic and what is the p-value? Assume the population standard deviations are the same.

Answer 1

from above test statistic t =-0.623

p value=0.268