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 S 2 = 6.5
Ethnic Group B: N = 23 M = 51 S 2 = 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

Question

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 S 2  = 6.5
Ethnic Group B: N = 23 M = 51 S 2  = 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

Quizplus · Accepted Answer

The formula for calculating the t-score is (M1 - M2) / (s / sqrt(n)), where M1 is the mean of group A, M2 is the mean of group B, s is the standard deviation of the distribution of the difference between means, and n is the sample size of each group. Plugging in the given values, we get (55-51) / (.76 / sqrt(15+23)) = 5.26. Therefore, the best choice is D.

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