What is the confidence interval for a paired-samples t test with a mean difference of 4.6, a standard error of 0.16, and 14 df?
A) [-0.36, 0.36]
B) [3.92, 4.18]
C) [4.24, 4.96]
D) [4.26, 4.94]

Question

Quizplus · Accepted Answer

The confidence interval can be calculated as mean difference ± (t-value * standard error). Using a t-table or calculator, the t-value for 14 df and a 95% confidence level is approximately 2.145. Therefore, the confidence interval is 4.6 ± (2.145 * 0.16), which simplifies to [4.26, 4.94]. Therefore, the correct answer is D.

What Is the Confidence Interval for a Paired-Samples T Test