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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 .....
positively skewed
-
negatively skewed
-
(b)
As the degrees of freedom increase, the skewness of the curve .....
decreases
-
increases
-
stays the same
-
(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)
