For the Following Question(s): a Sociologist Interested in Cultural Differences

Multiple Choice

For the following question(s) : A sociologist interested in cultural differences compared women of two ethnic groups on a Role Approval Index (high scores mean high degrees of approval of one's 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
-If the standard deviation of the distribution of the difference between means is .76, what is the t score?

A) (15-23) /.76 = -10.53
B) () 76) (15-23) = -8.00
C) [(6.5 + 4.5) /2][.76] = 4.18
D) (55-51) /.76 = 5.26