Math Problem Statement

Construct a confidence interval around the sample mean X=25 for the following conditions: Sx = 4.5, a =0.05, df = 20

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Confidence Interval
t-Distribution

Formulas

Confidence interval formula: X̄ ± t(α/2) * (Sx/√n)
Margin of Error (ME) = t(α/2) * (Sx/√n)

Theorems

Central Limit Theorem
t-Distribution for small samples

Suitable Grade Level

College/University Level (Introductory Statistics)