Suppose the mean IQ score of people in a certain country is 100. Suppose the director of a college obtains a simple random sample of 39 students from that country and finds the mean IQ is 104.5 with a standard deviation of 13.6. Complete parts (a) through (d) below. (a) Consider the hypotheses Ho: u= 100 versus H,: µ> 100. Explain what the director is testing. Perform the test at the a = 0.10 level of significance. Write a conclusion for the test. Explain what the director is testing. Choose the correct answer below. O A. The director is testing if the sample provided sufficient evidence that the population mean IQ score actually not equal to 100. B. The director is testing if the sample provided sufficient evidence that the population mean IQ score actually greater than 100. OC. The director is testing if the sample provided sufficient evidence that the population mean IQ score actually not greater than 100. O D. The director is testing if the sample provided sufficient evidence that the population mean IQ score actually equal to 100. Find the test statistic for this hypothesis test. 2.07 (Round to two decimal places as needed.) Find the P-value for this hypothesis test. 0.023 (Round to three decimal places as needed.) Write a conclusion for the test. Choose the correct answer below. O A. Do not reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country greater than 100 at the a = 0.10 level of significance. O B. Do not reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater than 100 at the a = 0.10 level of significance. OC. Reject Ho- There is sufficient evidence to conclude that the mean IQ score of people in the country is greater than 100 at the a =0.10 level of significance. O D. Reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater than 100 at the a = 0.10 level of significance.
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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