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A Number of Butterfly Species Mate for Hours, and If  Take-off angle (degrees) \text { Take-off angle (degrees) }

question 16

Essay

A number of butterfly species mate for hours, and if a mating couple is disturbed, one
of the butterflies is responsible for flying, carrying its partner with it. Not only are
mating pairs more noticeable to predators, the added weight may hamper the flight
during escape. Random samples of Green-veined White (Pieris napi) butterflies
were the subjects of a Swedish study to investigate the escape flights of single
butterflies and of mating pairs when exposed to a predator. Data on the initial takeoff
angle of escape are presented below. The investigators considered performing a
hypothesis test to determine if there was evidence that the mean take off angle was
different for singles and pairs. Using a graphical procedure of your choice,
determine if the t-test is appropriate.  Take-off angle (degrees) \text { Take-off angle (degrees) }
 Take-off angle (degrees)  Single0.4,1.9,7.0,21.724.4,28.0,28.6,35.4,39.9,40.2,57.057.0,65.0,68.9Paired 1.0,8.5,8.5,13.9,14.8,15.7,16.6,25.3,29.5,36.0,44.747.1,51.6,55.8,73.1,74.3\begin{array}{l}\text { Take-off angle (degrees) }\\\begin{array} {lll } \text { Single}&0.4,&1.9,&7.0,&21.7&24.4,&28.0,&28.6,&35.4,&39.9,&40.2,&57.0\\&57.0,&65.0,&68.9\\\\ \text {Paired }&1.0,&8.5,&8.5,&13.9,&14.8,&15.7,&16.6,&25.3,&29.5,&36.0,&44.7\\&47.1,&51.6,&55.8,&73.1,&74.3\\\end{array}\end{array}

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Definitions:

Engineering

The application of scientific and mathematical principles towards the design, construction, and maintenance of structures, machines, and systems to solve problems and achieve practical goals.

Cadeau

A French word meaning "gift," often used in the context of art to describe a piece given as a present or to denote a work’s conceptual underpinning as a gift to the viewer.

Man Ray

An American visual artist who spent most of his career in France and is best known for his contributions to the Dada and Surrealist movements through photography and avant-garde images.

Synthetic Cubism

Synthetic Cubism is the later phase of Cubism, characterized by simpler shapes, brighter colors, and the incorporation of mixed media and collage elements, evolving from the analytical approach of its earlier form.

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