Shown below are pulse rates from Data Set 1 “Body Data” in Appendix B, and the XLSTAT display from two-way analysis of variance of these data. In analyzing these data, what important feature is addressed with two-way analysis of variance that is not addressed with two separate tests of (1) difference between mean pulse rates based on gender, or (2) differences among the mean pulse rates in the different age brackets?

Body Data set

18-29 30-49 50-80 Female Male 104 82 80 78 80 84 82 66 70 78 72 64 72 64 64 70 72 64 54 52 66 74 96 86 98 88 82 72 80 80 80 90 58 74 96 72 58 66 80 92 94 72 82 86 72 90 64 72 72 100 54 102 52 52 62 82 82 60 52 74