The mean score on a reading assessment test for 49 randomly selected male high school students was 279. Assume the population standard deviation is 41. The mean score on the same test for 50 randomly selected female high school students was 278.

Assume the population standard deviation is 39 . At \(\alpha=0.05\), can you support the claim that the mean score on the reading assessment test for male high school students is greater than the mean score for female high school students?