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A sociologist interested in cultural differences compared women of two ethinic groups on a Role Approval Index (high scores mean high degrees of...

A sociologist interested in cultural differences compared women of two ethinic groups on a Role Approval Index (high scores mean high degrees of approval of one's social role). The results are as follows:
Ethnic Group A: N = 15 M= 55 S2 = 6.5 Ethnic Group B : N = 23 M= 51 S2 = 4.5
What is the pooled estimate of the population variance?

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