Question

assume that the total sum of the squares (sst) is 112, that the total degrees of freedom (dft) is 14, that the mean of squares between (msb) is 20, and that the mean of squares within (msw) is 6. what is f? 1.11 3.33 8 26

Explanation:

Step1: Recall the formula for F - statistic

The formula for the F - statistic in an ANOVA (Analysis of Variance) is \(F=\frac{MSB}{MSW}\), where \(MSB\) is the Mean of Squares Between and \(MSW\) is the Mean of Squares Within.

Step2: Substitute the given values into the formula

We are given that \(MSB = 20\) and \(MSW=6\).
Substituting these values into the formula \(F=\frac{MSB}{MSW}\), we get \(F=\frac{20}{6}=\frac{10}{3}\approx3.33\)

Answer:

B. 3.33