Grip and Leg Strength. In the paper, “Sex Differences in Static Strength and Fatigability in Three Different Muscle Groups” (Research Quarterly for Exercise and Sport, Vol. 61(3), pp. 238–242), J. Misner et al. published results of a study on grip and leg strength of males and females. The following data, in newtons, is based on their measurements of right-leg strength.

Male Female 2632 1796 2256 1344 1351 1369 2235 2298 1917 2479 1573 1665 1105 1926 2644 1791 1866 1544 1569 3129 2167 2359 1694 2799 1977 1868 2098 Preliminary data analyses indicate that you can reasonably presume leg strength is normally distributed for both males and females and that the standard deviations of leg strength are approximately equal.

At the 5% significance level, do the data provide sufficient evidence to conclude that mean right-leg strength of males exceeds that of females? (Note: x¯1 = 2127, s1 = 513, x¯2 = 1843, and s2 = 446.)