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/√2
d. 4/√8
To calculate the value of the t statistic, you need to know the sample mean difference, the pooled variance, and the sample size. The formula to calculate the t statistic is:
t = (mean difference) / (sqrt(pooled variance / n))
In this case, the sample mean difference is 4 points and the pooled variance is 12. The sample size is n = 6.
Plugging these values into the formula, we get:
t = 4 / (sqrt(12 / 6))
Simplifying the expression inside the square root:
t = 4 / (sqrt(2))
Simplifying further:
t = 4 / √2
So, the value for the t statistic is 4 / √2, which corresponds to option c.