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
If the standard deviation of the distribution of the difference between means is .76, what is the t score?
(15-23)/.76 = -10.53
(.76)(15 - 23) = -8.00
[(6.5 + 4.5)/][.76] = 4.18
(55 - 51)/.76 = 5.26