Paired Data/Matched Pairs Dependent Samples (3/30)

An Interesting Mean/Average for Extra Credit (for test 2)

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2025/2026

Two samples are paired/matched data if each observation in one set is related to or corresponds with exactly one observation in the second sample

Ex: Pair of Student Scores (Reading & Writing Score, SAT Prep Course: Before & After)

Always subtract using a consistent order

Two sets of data are combined by subtracting to make one set of differences with its own mean and standard deviation

Parameter of interest: average difference between scores

Ho: $\mu$ = 0

Ha: $\mu$ $\ne$ 0

Conditions:

Independent

Normal Distributions