Math Problem Statement
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Solution
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Math Problem Analysis
Mathematical Concepts
Hypothesis Testing
Paired t-test
Standard Deviation
Normal Distribution
Formulas
t = (mean of differences) / (standard deviation of differences / sqrt(n))
Standard Deviation formula: sqrt(Σ(d - mean(d))^2 / (n-1))
Theorems
Central Limit Theorem
t-distribution
Suitable Grade Level
Undergraduate (Statistics/Introductory Probability)
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