A researcher was interested in comparing salaries of female as well as male employees at a specific company. Independent simple random samples of eight female employees and 15 male employees yielded following weekly salaries (in dollars).
Female: 495, 760, 556, 904, 520, 1005, 743, 660
Male: 722, 518, 562, 904, 880, 1150, 520, 805, 500, 480, 1250, 970, 750, 605, 1640
At the 5% significance level, do data give sufficient evidence to conclude that at this specific company the mean salary of female employees is less than the mean salary of male employees? Employ the critical-value approach