## Math Problem Statement

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Probability

Normal Distribution

Z-Score

Central Limit Theorem

### Formulas

Mean of total weight: μ_total = n * μ_box

Standard deviation of total weight: σ_total = sqrt(n) * σ_box

Z-Score: Z = (X - μ_total) / σ_total

### Theorems

Central Limit Theorem

### Suitable Grade Level

Undergraduate / Advanced High School

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