# Statisitcs - pooled estimate of the population variance

Sigchi4life
Category:
Statistics
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Question description

Use the following scenario to answer the question below: A social psychologist interested in cultural differences compared women of two ethnic groups on a Role Approval Index on which high scores indicated high degrees of approval of one's own social role. The results were 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?

A. [(14 / 36) (6.5)] + [(22 / 36) (4.5)] = 5.28

B. [(15 / 38) (6.5)] + [(23 / 38) (4.5)] = 5.29

C. [(15 / 23) (6.5)] + [(23 / 15) (4.5)] = 11.14

D. [(14 / 22) (6.5)] + [(22 / 14) (4.5)] = 11.21

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