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Section 11.3 The \(F\)-Distribution
Figure 11.3.1. \(F\)-Distribution (Made in GeoGebra by therimalaya and Lauren Nelsen)
Investigation 11.3.1.
(a)
The
\(F\)-distribution curves are not symmetric, but instead .....
(b)
As the degrees of freedom increase, the skewness of the curve .....
(c)
The area under the curve is equal to .....
(d)
All values of the
\(F\)-distribution are greater than or equal to .....
We can use Table 6 in Appendix A of your book to find critical \(F\) values. The notation for these is \(F_{\alpha,D_1,D_2}\text{.}\)
-
Find the table with the desired significance level.
-
Locate
\(D_1\) across the
top of the table.
-
Locate
\(D_2\) along the
left of the table.
We can also find critical \(F\)-values using the Excel command
\begin{equation*}
F.INV.RT
\end{equation*}
Exercise 11.3.2.
Find the following critical
\(F\)-values:
(a)
(b)
(c)
(d)
