Sociologist have recently started to examine the growing social trend of older women dating younger men. Researchers attended two well known night clubs: The Panther Room and The Mountain Lioness. They sampled 25 heterosexual couples and discovered the average difference in the age of couples was 3.6 years with the females(x1) being older than the male (x2). The standard deviation for the difference in ages was 2.5 years. At the 5% level of significance is there enough evidence to conclude that the female member of the couple is older