## 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

## Related Recommendation

Left-Tailed Hypothesis Test for Population Standard Deviation: Example with Chi-Square Test

Chi-square Test for Variance: Hypothesis Testing with Sample Standard Deviation

Chi-Square Test for Variance with Hypotheses σ² = 100

Chi-Square Test for Variance with Sample Standard Deviation 50.6 and Population Standard Deviation 53

Chi-Square Test for Variance: Sample Variance of 80 vs Population Variance of 100