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
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To compute the t-score, we need to divide the difference between the means by the standard deviation of the distribution of the difference between means. Let's use the correct calculation:
- (55 - 51) / 0.76 = 5.26
Therefore, the t-score is 5.26.