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What Is the F Statistic for Testing H0: σ12

question 6

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What is the F statistic for testing H0: σ12 ≤ σ22, HA: σ22 > σ12 at α = .05, where n1 = 16,
n2 = 19, s12 = .03, and s22 = .02?

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Definitions:

ANOVA Table

A table that displays the output of an Analysis of Variance, which shows statistical information such as sums of squares, degrees of freedom, mean squares, and F-statistics.

Mean Squares

The average of the squares of the deviations or differences from the mean, often used in variance analysis.

Sum of Squares

A statistical measure used in regression analysis and ANOVA; it quantifies the total variance in the data by summing squared deviations from the mean.

Significance Level

The potential of mistakenly refuting the null hypothesis during a statistical inquiry, typically shown by the alpha symbol.

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