If L Is Not Too Small and H₀ Is True

question 3

True/False

If l is not too small and H₀ is true F_r has approximately a chi-squared distribution with df = k - 1. The null hypothesis is rejected if F_r > chi-square critical value for the given level of significance α.

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Definitions:

One-sample T-test

A statistical test used to determine if the mean of a single sample significantly differs from a known or hypothesized population mean.

Kruskal-Wallis Test

The Kruskal-Wallis Test is a nonparametric method for testing whether samples originate from the same distribution, used when the assumptions of the ANOVA are not met.

Parametric Counterpart

A statistical test or model that is based on assumptions about the parameters (e.g., mean, variance) of the population distribution from which the sample is drawn.

Nonparametric Test

A type of statistical test that does not assume a particular distribution for the data, often used when data do not meet the assumptions of parametric tests.