Скачать или смотреть Small Samples—Single Mean | Statistics and Numerical Methods | SNS Institutions

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Small sample theory in statistics addresses cases where the sample size necessitates the use of Student's t-distribution rather than the normal distribution, particularly when the population standard deviation is unknown. The application of a single-mean t-test for a single mean is used to test whether the sample mean x differs significantly from a hypothesized population mean.
Quality Control in Manufacturing: A manufacturer may sample a tiny number of products (e.g., 5 or 10) to determine if the average weight, diameter, or strength of a new batch matches the set standard. Pharmaceutical Testing: Researchers use small sample t-tests to evaluate if the average active ingredient in a few tablets meets the required dosage specifications. Clinical Diagnostics & Healthcare: Small samples are often necessary in specialized research. For example, testing if the average blood pressure of a small group of patients (e.g., n=10) differs significantly from the population mean.