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(All Steps) To find out whether the inhabitants of two South Pacific islands may be regarded as having the same racial ancestry, an anthropologist determines

Question: 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 islands, getting X 1 =77.4 and X 2 =72.2 and the corresponding standard deviations s 1 =3.3 and s 2 =2.1. Use 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.

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