OMIS 2050 - Class 5: Hypothesis Testing - Inference for Numerical Data

What is a matched-pair mean test?

technique comparing 2 related data sets seeing if there’s mean difference

What is a matched pair?

single population method inferring on differences of sampling same subjects twice

What is the μ_D formula?

\mu_1-\mu_2

What are the possible matched-pair mean test null hypotheses?

• μ_D ≤ 0

• μ_D ≥ 0

• μ_D = 0

What are the possible matched-pair mean test alternative hypotheses?

• μ_D > 0

• μ_D < 0

• μ_D ≠ 0

What is the matched-pair mean test stat formula?

t=\frac{\bar{x}_{D}-\mu_{D}}{\left(\frac{s_{D}}{\sqrt{n_{D}}}\right)}

What is the freedom degree formula?

n-1

What is the right tail T_crit formula?

=T.INV(probability, freedom degrees) 

What is the left tail T_crit formula?

=-T.INV(probability, freedom degrees)

What is the matched pair confidence interval formula?

\bar{x}_{D}\pm t_{\frac{a}{2}}\left(\frac{s_{D}}{\sqrt{n_{D}}}\right)

What is the two tail T_crit formula?

=T.INV.2T(probability, freedom degrees)