The authors of a research article studied how video game content might influence attitudes and behavior. Male students at a large midwestern university were assigned at random to play one o three action-oriented video games. Two of the games involved some violence-one was a shooting game and one was a fighting game. The third game was a nonviolent race car driving game. After playing a game for 20 minutes, participants answered a set of questions. The responses were used to determine values of three measures of aggression: (1) a measure of aggressive behavior; (2) a measure of aggressive thoughts; and (3) a measure of aggressive feelings. The authors hypothesized that the means for the three measures of aggression would be greatest fo the fighting game and lowest for the driving game. (a) For the measure of aggressive behavior, the paper reports that the mean score for the fighting game was significantly higher than the mean scores for the shooting and driving game, but reports that the mean scores for the shooting and driving games were not significantly different. The three sample means were as follows. Driving Shooting Fighting Sample mean 3.44 4.00 5.80 Use the underscoring procedure of this section to construct a display that shows any significant differences in mean aggressive behavior score among the three games. O Sample Mean Driving Shooting Fighting 5.80 3.44 4.00 Driving Shooting Fighting 5.80 Sample Mean 3.44 4.00 O Sample Mean Driving Shooting Fighting 3.44 4.00 5.80 O Sample Mean Driving Shooting Fighting 4.00 3.44 5.80 (b) For the measure of aggressive thoughts, the three sample means were as follows. Driving Shooting Fighting Sample mean 2.81 3.41 4.07 The paper states that the mean score for the fighting game only significantly differed from the mean score for the driving game, and states that the mean score for the shooting game dio not significantly differ from either the fighting or driving games. Use the underscoring procedure of this section to construct a display that shows any significant differences in mean aggressive thoughts score among the three games. Driving Shooting Fighting 3.41 O Sample Mean 2.81 4.07 O Sample Mean Driving Shooting Fighting 2.81 3.41 4.07 Driving 2.81 Shooting Fighting 3.41 o Sample Mean 4.07 Driving Shooting Fighting O Samplo Monn 4.07
Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
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