2. Use the following scenario to conduct a hypothesis test. Then use that to answer questions a- g. You would like to determine if the use of a new teaching intervention helps to improve attention in 5- year-old boys. To test this hypothesis, you have separated 35 5-year-old boys into two groups, one with the intervention (treatment group) and the other given normal class time (the control group). You would like to test if the treatment group had longer attention times (in minutes) than the control group. (The significance level of the test is .05) The following are the data for the two groups: Control Group (Group 1) 7 11 3 11 14 8. 3 2 Treatment Group (Group 2) 6 9 11 12 14 2 5 6 16 18 14 11 8. 7 10 11 Answer the following questions to run the hypothesis test. You should use the notation and methods described in the course: a. What test should you run? b. What is the null hypothesis in sentences and symbols? c. What is the alternative hypothesis in sentences and symbols? d. What is the test statistic? Make sure that you also include the correct notation for the statistic (the proper letter in other words). e. What is the p-value for the test? f. Should you reject or fail to reject the null hypothesis. Explain how you know. g. According to your results, was the treatment effective in increasing attention? Explain your O 00 o 00 00
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.
Answer D-G
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