Appendix A.37

Matched Pairs t-Test

Perform hypothesis tests and construct confidence intervals for paired/dependent samples.

Matched Pairs (Dependent Samples) Calculator

t-test and CI for paired differences

Null:
Alternative:
df:
14
Test Statistic

t-Distribution (df = 14)

-2.1452.1450t₀ = 3.03

Classical Approach

Critical Region: t < -2.145 or t > 2.145
t₀ = 3.0258 is in rejection region

P-Value Approach

P-value = 0.0091
P-value < α = 0.05

Reject H₀

At the α = 0.05 level, there is sufficient evidence to conclude that the mean difference is different from 0.