What is the paired-samples t test statistic for the following difference scores: -1, -24, +20, -28, -4?
A) -0.92
B) -0.85
C) 6.96
D) 8.67

Question

Quizplus · Accepted Answer

First, we need to find the mean and standard deviation of the difference scores:

Mean = (-1 - 24 + 20 - 28 - 4)/5 = -7.4

Standard deviation = sqrt(((0 - (-7.4))^2 + ((-23 - (-7.4))^2 + ((20 - (-7.4))^2 + ((-28 - (-7.4))^2 + ((-4 - (-7.4))^2)))/4 = 17.3

Using these values, we can calculate the t-test statistic:

t = (mean difference score) / (standard deviation / sqrt(sample size))

t = (-7.4) / (17.3 / sqrt(5)) = -0.85

Therefore, the paired-samples t-test statistic is -0.85. The best choice is B.

What Is the Paired-Samples T Test Statistic for the Following