Refer to the following partial ANOVA results from Excel (some information is missing). $$\begin{array} { | l | c | c | c | c | c | c | }
\hline \text { Source of Variation } & S S & d f & M S & F & P \text {-value } & F \text { crit } \
\hline \text { Nozzle setting } & 3.46722 & 1 & 3.46722 & 4.87198 & 0.04751 & \
\hline \text { Pressure level } & 8.07444 & & 4.03722 & 5.67291 & 0.01844 & \
\hline \text { Interaction } & 2.80779 & 2 & 1.40389 & 1.97268 & 0.18177 & \
\hline \text { Error } & 8.54000 & & 0.711667 & & & \
\hline \text { Total } & 22.8894 & & & & & \
\hline
\end{array}$$ At ? = .05, the critical F value for nozzle setting is:
A)4.71.
B)4.75.
C)3.68.
D)3.02.

Question

Refer to the following partial ANOVA results from Excel (some information is missing). $$\begin{array} { | l | c | c | c | c | c | c | } 
\hline \text { Source of Variation } & S S & d f & M S & F & P \text {-value } & F \text { crit } \
\hline \text { Nozzle setting } & 3.46722 & 1 & 3.46722 & 4.87198 & 0.04751 & \
\hline \text { Pressure level } & 8.07444 & & 4.03722 & 5.67291 & 0.01844 & \
\hline \text { Interaction } & 2.80779 & 2 & 1.40389 & 1.97268 & 0.18177 & \
\hline \text { Error } & 8.54000 & & 0.711667 & & & \
\hline \text { Total } & 22.8894 & & & & & \
\hline
\end{array}$$ At ? = .05, the critical F value for nozzle setting is:
A)4.71.
B)4.75.
C)3.68.
D)3.02.

Quizplus · Accepted Answer

The critical F value for nozzle setting can be found by looking for the given degrees of freedom (1 for numerator, and the degrees of freedom for error, which is missing in this table) and the alpha level of .05 in an F distribution table. Using the degrees of freedom for error calculated in the total row: df_total - df_nozzle - df_pressure - df_interaction = 15, the critical F value for α = .05 and the given degrees of freedom is 4.75. Therefore, the answer is choice B.

Refer to the Following Partial ANOVA Results from Excel (Some