13. The following table was presented in an article summarizing a study to compare a new drug to a standard drug and to a placebo. Standard Drug New Drug Placebo Characteristic* 42.8 (4.3) Age, years 45.2 (4.8) 44.9 (5.1) 0.5746 % Female 51% 55% 57% 0.1635 59.5 (14.3) 63.8 (16.9) 58.2 (13.6) Annual Income, $000s 0.4635 65% %with Insurance 87% 82% 0.0352 Disease Stage Stage Stage II Stage III Table entries and Mean (SD) or % 0.0261 33% 35% 18% 42% 37% 47% 23% 51% 20% a) Are there any statistically significant differences in the characteristics shown among the treatments? Justify your answer. b) Consider the test for differences in age among treatments. Write the hypotheses and the formula of the test statistic used (No computations required formula only) c) Consider the test for differences in insurance coverage among treatments. Write the hypotheses and the formula of the test statistic used (No computations required formula only) d) Consider the test for differences in disease stage among treatments. Write the hypotheses and the formula of the test statistic used (No computations required formula only)
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.
Question 13, JUST LETTER D. I have the rest. Thank you!
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