A nutritionist applies keto diet in a group of twenty individuals. He assumes that keto is designed with the idea of cutting carbohydrates from the food which impacts over the weight of individuals. For the verification of this assumption, he took a group of twenty individuals and kept them on two different diet plans (diet with and without carbohydrates) for a period of 16 weeks each. The weekly normally distributed data of their weight loss given below: With Carb Without Carb 4 3.5 2 4.5 45 weekly loss in weight (in Kg) 3 2.5 1.5 4.5 3 2.5 2.5 1.5 3 1.5 2 4 5 3 3.5 3.5 5 6 4.5 4 4.5 36 35 . Write the name of a statistical technique which is suitable for achieving the objective of nutritionists. b. What is the average impact on the basis of given data? c. Write the null and alternative hypothesis for the study. d. What is the calculated value of the test statistic? e. What is the conclusion of your study if the level of significance is 0.05?
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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