SUMMARY
The discussion focuses on testing the normality of the digits of π (pi) to determine if each digit occurs with equal frequency. A suggested method involves randomly sampling strings of size 20 and applying the Chi-squared goodness of fit test to assess uniform distribution. The results indicate that π exhibits normality up to 22.5 trillion decimal places in base 10 and an equivalent number in hexadecimal. The conversation also raises the question of whether normality is base-dependent, suggesting potential patterns in different numeral systems.
PREREQUISITES
- Understanding of Chi-squared goodness of fit test
- Familiarity with random sampling techniques
- Knowledge of statistical normality concepts
- Basic comprehension of numeral systems (base 10 and hexadecimal)
NEXT STEPS
- Research the application of Chi-squared tests in statistical analysis
- Explore methods for random sampling in statistical studies
- Investigate the concept of normality in different numeral systems
- Read the paper linked in the discussion for detailed methodologies and findings
USEFUL FOR
Statisticians, mathematicians, data analysts, and anyone interested in the properties of π and statistical testing methods.