Let . Find the Critical Points of and Analyze Them Using

question 19

Essay

Let .
Find the critical points of and analyze them using the second derivatives.

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Definitions:

ANOVA Model

A statistical method used to analyze the differences among group means in a sample by comparing the variability within groups to the variability between groups.

Unbiased Estimator

A statistical estimator whose expected value exactly equals the parameter being estimated, showing no systematic error.

Degrees of Freedom

The number of independent values or quantities that can vary in the analysis of statistical data, often important in determining the significance of a test statistic.

Mean Square

A measure used in ANOVA that represents the average of the squared differences between group means and the overall mean.