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A Student Wants to Build a Paper Airplane That Gets upu p

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A student wants to build a paper airplane that gets maximum flight distance. She tries three ways of bending the wing (down, flat, and upu 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.
 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

 Source  df  Sums of  Squares  Mean  Square  F-ratio  P-value  Wing Bend 213565.26782.58152.7<0.0001 Weight 16768.756768.75152.39<0.0001 Interaction 2186.593.252.09940.2036 Error 6266.544.4167 Total 1120786.9\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}

 Wing Bend  Expected  Mean  Down 145.0 Flat 182.5 Up 227.2\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}

 Weight  Expected  Mean  No 161.2 Yes 208.7\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

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