An experimenter hypothesizes that biology majors score higher than literature majors on an intelligence test.If the mean score for biology majors was 18.8 and the mean score for literature majors was 21.3,and the S_difference was 0.9,the t score was A)t = (18.8 - 21.3)/ 0.9² = -3.09 B)t = (18.8 - 21.3)/ 0.9 = -2.78 C)t = (18.8 - 21.3)(0.9)= -2.25 D)t = (18.8 - 21.3)/ [(2)(0.9)] = -1.39

Question

Quizplus · Accepted Answer

The formula for calculating the t score is (X1 - X2)/(S1 pooled/√n1+n2), where X1 and X2 are the mean scores, S1 pooled is the pooled standard deviation, and n1 and n2 are the sample sizes. The given information in the problem only includes the mean scores and the S_difference, which can be used to calculate the pooled variance. Thus, the t score can be calculated as (18.8 - 21.3)/0.9 = -2.78.

An Experimenter Hypothesizes That Biology Majors Score Higher Than Literature