The accompanying summary data on the ratio of strength to cross-sectional area for knee extensors is taken from the article “Knee Extensor and Knee Flexor Strength: CrossSectional Area Ratios in Young and Elderly Men” (J. of Gerontology, 1992: M204–M210).

Sample Sample Standard Group Size Mean Error Young 13 7.47 .22 Elderly men 12 6.71 .28 Does this data suggest that the true average ratio for young men exceeds that for elderly men? Carry out a test of appropriate hypotheses using 
.05. Be sure to state any assumptions necessary for your analysis.