Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Hypothesis Testing
Standard Deviation
Left-Tailed Test

Formulas

Chi-Square Test for Standard Deviation: χ² = (n - 1) * s² / σ²
Critical Value: Based on χ² distribution table with α = 0.05 and degrees of freedom (df) = n - 1

Theorems

Chi-Square Distribution

Suitable Grade Level

Undergraduate Level - Statistics