To find out whether the inhabitants of two South Pacific islands may be regarded as having the same racial ancestry, an anthropologist determines the cephalic indices of six adult males from each island, getting 1 = 77.4 and 2 = 72.2 and the corresponding standard deviations s1 = 3.3 and s2 = 2.1. Use the four steps in the initial part of Section 1 and the 0.01 level of significance to see whether the difference between the two sample means can reasonably be attributed to chance. Assume that the populations sampled are normal and have equal variances.