To find out whether the inhabitants of two SouthPacific islands may be regarded as having the same racial ancestry, an anthropologist determines the cephalicindices of six adult males from each island, getting x1 = 77.4 and x2 = 72.2 and the corresponding stan-dard 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 sig-nificance to see whether the difference between the two sample means can reasonably be attributed to chance.Assume that the populations sampled are normal andhave equal variances.

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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

x1 = 77.4 and x2 = 72.2 and the corresponding stan-
dard 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 sig-
nificance 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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