A social psychologist interested in cultural differences compared women of two ethnic groups on a Role Approval Index on which high scores indicated high degrees of approval of one's own 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. 5.26 b. - 10.53 c. - 8.00 d. 4.18

Question

Mathematics

Brian Richardson

18 March, 15:59

A social psychologist interested in cultural differences compared women of two ethnic groups on a Role Approval Index on which high scores indicated high degrees of approval of one's own 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. 5.26 b. - 10.53 c. - 8.00 d. 4.18

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Answers (1)

Know the Answer?

Allisson Savage · Answer 1

a. 5.26

Step-by-step explanation:

As, the standard deviation of the distribution of the difference between mean is 0.76 so the t score will be simply calculated by dividing the difference of means by standard deviation of the distribution of the difference between mean as hypothesized difference is zero.

t score=Xbar A - Xbar B/Sd of difference of means

t score=55-51/0.76

t score=4/0.76=5.26