Oligofructose and Calcium Absorbtion. Nondigestible oligosaccharides are known to stimulate calcium absorbption in rates. A double-blind, randomized experiment investigated whether the consumption of oligofrustose similarly stimulates calciium absorption in healthy male adolescents 14 to 16 years old. The subjects took a pill for nine days and had their calcium absoprtion tested on the last day. The experiement was repreated three weeks later. Some subjects received the oligofructose pill in the first round and then a pill containing sucrose (serving as the control). The order was switched for the remaining subjects. The data reflects the fractional calcium absorption data (in percent of intake) for 11 subjects. Subject Control Oligofructose 78.40 76.60 57.40 62.00 2 3 95.10 46.50 51.50 49.40 89.70 43.80 4 49.00 46.60 44.20 42.90 6 7 50.30 51.60 66.60 52.70 8 37.20 34.10 a) Set up the Null and Alternative Hypothesis (95% Confidence) 10 11 24.60 54.00 Null Hypothesis Alternative Hypothesis b) What are the df (degrees of Freedom)? c) What is the p-value (Show you work on how you got it).
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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