A Student Wants to Build a Paper Airplane That Gets

question 16

Essay

A student wants to build a paper airplane that gets maximum flight distance. She tries
three ways of bending the wing (down, flat, and up) 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 wing bends and weights. $$\begin{array}{l}\begin{array} { | l r r r r r | } \hline \text { Source } & \text { df } & \begin{array} { c } \text { Sums of } \\\text { Squares }\end{array} & \begin{array} { l } \text { Mean } \\\text { Square }\end{array} & \text { F-ratio } & \text { P-value } \\\hline \text { Wing Bend } & 2 & 13565.2 & 6782.58 & 152.7 & < 0.0001 \\\text { Weight } & 1 & 6768.75 & 6768.75 & 152.39 & < 0.0001 \\\text { Interaction } & 2 & 186.5 & 93.25 & 2.0994 & 0.2036 \\\text { Error } & 6 & 266.5 & 44.4167 & & \\\text { Total } & 11 & 20786.9 & & & \\\hline\end{array}\\\begin{array} { | c c | } \hline \text { Wing Bend } & \begin{array} { c } \text { Expected } \\\text { Mean }\end{array} \\\hline \text { Down } & 145.0 \\\text { Flat } & 182.5 \\\text { Up } & 227.2 \\\hline\end{array}\\\begin{array} { | c c | } \hline \text { Weight } & \begin{array} { c } \text { Expected } \\\text { Mean }\end{array} \\\hline \text { No } & 161.2 \\\text { Yes } & 208.7 \\\hline\end{array}\end{array}$$



a. Does an additive model seem adequate? Explain.
b. Write a report on this analysis of the data. Include any recommendations you would
give the student on designing the plane.

Understand the impact of work schedules on employee fatigue and the outcomes of effective health programs.

Recognize the leading causes of worker fatalities and the importance of timing in employee safety training.

Identify actions and responsibilities following workplace injuries and the concept of occupational illnesses.

Identify strategies to manage immediate conflicts and violence in the workplace.

---

Definitions:

Confession

The act of admitting to something, particularly acknowledging one's sins or wrongdoings, often within a religious or legal context.

Duress

A compulsion by threat or force; a condition in which a person acts as a result of pressure or coercion.

Jury

A jury is a group of people sworn to render a verdict in a legal case on the basis of evidence presented to them in a court.

Covariation Principle

A theory suggesting that people attribute behavior to causes that appear at the same time as the behavior and are absent when the behavior does not occur.