Classify the experiments according to their experimental designs. Some designs may be used more than once
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.
Classify the experiments according to their experimental designs. Some designs may be used more than once.
![Answer Bank
completely randomized design
observational study
matched pairs design
block design (not matched pairs)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a4dd705-42b0-45ad-a13d-a408a7c070b9%2F9c7e155f-007c-4ef6-a16a-b7f13ddc7c48%2Fvhgln7_processed.png&w=3840&q=75)
![Exercise. A sample of 40 adults was separated into men and women. The members of each group were randomly assigned to
two different exercise routines. The responses of each adult were recorded at the completion of the experiment.
Flu. A sample of 50 flu patients was grouped into pairs of similar individuals based on age and gender. Then, within these
pairs, each flu patient was assigned to a different flu medication. After three weeks, the responses of each pair were analyzed
to compare the effects of the flu medications.
Race car fuel. Twenty race cars were assigned to drive two laps, once with fuel A and once with fuel B. The order of
treatments was randomized for each race car. The lap times of each race car were recorded to compare the effects of the two
different treatments.
Building age. A random sample of 100 houses was selected in a particular city. To assess how building age influences energy
consumption, the construction year and energy usage over a one-year time period were recorded for each house.
Documentaries. Eighteen volunteers were randomly assigned to three groups, and each group watched a different
documentary about feminism. After completing the documentary, each volunteer was asked if their views on feminism were
influenced by the film.
Race car fuel
Exercise
Building age
Flu
Documentaries](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a4dd705-42b0-45ad-a13d-a408a7c070b9%2F9c7e155f-007c-4ef6-a16a-b7f13ddc7c48%2Fea45sc_processed.png&w=3840&q=75)
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