A Student Wants to Build a Paper Airplane That Gets $u p$

A student wants to build a paper airplane that gets maximum flight distance. She tries three ways of bending the wing (down, flat, and $u p$ ) and two levels of nose weight (no and yes-a paper clip). She randomizes the 12 runs (each condition replicated twice). The analysis of variance for the 12 runs is shown in the table below along with an interaction
plot and tables of the mean distance for the different on
wing bends and weights.


$\begin{array}{|lrrrrr|}\hline \text { Source } & \text { df } & \begin{array}{r}\text { Sums of } \\\text { Squares }\end{array} & \begin{array}{l}\text { Mean } \\\text { Square }\end{array} & \text { F-ratio } & \text { P-value } \\\hline \text { Wing Bend } & 2 & 13565.2 & 6782.58 & 152.7 & <0.0001 \\\text { Weight } & 1 & 6768.75 & 6768.75 & 152.39 & <0.0001 \\\text { Interaction } & 2 & 186.5 & 93.25 & 2.0994 & 0.2036 \\\text { Error } & 6 & 266.5 & 44.4167 & & \\\text { Total } & 11 & 20786.9 & & & \\\hline\end{array}$

$\begin{array}{|cc|}\hline \text { Wing Bend } & \begin{array}{c}\text { Expected } \\\text { Mean }\end{array} \\\hline \text { Down } & 145.0 \\\text { Flat } & 182.5 \\\text { Up } & 227.2 \\\hline\end{array}$

$\begin{array}{|cc|}\hline \text { Weight } & \begin{array}{c}\text { Expected } \\\text { Mean }\end{array} \\\hline \text { No } & 161.2 \\\text { Yes } & 208.7 \\\hline\end{array}$

a.Write the hypotheses tested by the Detergent F-ratio.Test the hypotheses and explain
b.Write the hypotheses tested by the Temp F-ratio.Test the