7 8 6. 7 7 8 Describe this problem in terms of statistical hypothesis testing framework. How would you model your data in terms of random variables? State the null hypothesis and the alternative. Will your alternative be one-sided or two-sided? Why? What kind of statistical test will you use? Why this test? Use this test (apply Python if necessary and provide your code), analyse the results and provide a conclusion in mathematical and real-life terms. Would you invest into production of this drug?
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.
Q- You .............
.................drug?
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volunteers into two groups (10 volunteers in each): the treatment group and the control group. Volunteers in the
treatment group receive the new drug, volunteers in the control group receive placebo (pills that looks like a drug but do
not have active substance). You conclude that new drug is effective if people who take the drug will recover faster (on
average) than people in the control group. If your drug is effective, you will invest in its production, otherwise you will look
for another drug. Assume that you obtained the following data (disease duration in days).
control group
treatment group
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Describe this problem in terms of statistical hypothesis testing framework. How would you model your data in terms of
random variables? State the null hypothesis and the alternative. Will your alternative be one-sided or two-sided? Why?
What kind of statistical test will you use? Why this test? Use this test (apply Python if necessary and provide your code),
analyse the results and provide a conclusion in mathematical and real-life terms. Would you invest into production of this
drug?"
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