Standardized Test Statistic Calculator
A standardized test statistic calculator helps determine how far a sample statistic deviates from its population parameter. It's essential in hypothesis testing to assess whether observed differences are statistically significant. Researchers use it to calculate z-scores and t-scores, comparing sample means to population means while considering variability and sample size. This tool is crucial in various fields including psychology, medicine, and social sciences for making data-driven decisions.
Formula
Z-test: (X̄ - μ) / (σ/√n)
T-test: (X̄ - μ) / (s/√n)
Calculator
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FAQs
Frequently Asked Questions
What is a standardized test statistic?
A standardized test statistic measures how many standard deviations a data point is from the population mean. It's used in hypothesis testing to determine statistical significance. Common types include z-scores and t-scores, which help researchers compare sample data to population parameters while accounting for sample size and variability.
When should I use z-test vs t-test?
Use z-test when population standard deviation is known and sample size > 30. Use t-test for smaller samples or when population standard deviation is unknown. The t-test accounts for more variability in small samples through degrees of freedom, providing more conservative estimates than z-tests.