Question

Regarding one-way $ANOVA$, fill in the blanks in each of Exercises $13.15-13.17$
13.17 To compare the variation among the sample means to the variation within the samples, we use the ratio of $MSTR$ to-------
This ratio is called the-----

Short answer

To compare the variation among the sample means to the variation within the samples, we use the ratio of $MSTR$to $MSE$.

This ratio is called the $F$-statistic.

Step-by-step solution

Given information

To compare the variation among the sample means to the variation within the samples. And use the ratio of $MSTR$.

Explanation

The $F$-statistic is the ratio of deviation between sample means and variation within the sample.
The Error Mean Square is divided by the Treatment Mean Square.
The $F$-statistic formula is as follows:
$F=\frac{MSTR}{MSE}$