An independent-measures study with n = 6 in each sample,produces a sample mean difference of 4 points and a pooled variance of 12.What is the value for the t statistic?
A)1
B)2
C)4/6
D)4/8

Question

An independent-measures study with n = 6 in each sample,produces a sample mean difference of 4 points and a pooled variance of 12.What is the value for the t statistic?​
A)​1
B)​2
C)​4/6
D)​4/8

Quizplus · Accepted Answer

The formula to calculate the t statistic for independent-measures study is: 
t = (M1 - M2) / (Sp * sqrt(2/n))
where M1 - M2 is the mean difference, Sp is the pooled standard deviation, and n is the sample size.

Plugging in the values, we get: 
t = 4 / (sqrt(12) * sqrt(2/6))
t = 4 / (sqrt(2))
t = 2

Therefore, the value for the t statistic is 2, which corresponds to choice letter B.

An Independent-Measures Study with N = 6 in Each Sample,produces