Do the poor spend less time in the shower than the rich? The results of a survey asking poor and rich people how many minutes they spend in the shower are shown below. Poor 17 25 35 14 21 39 21 8 30 35 23 Rich: 28 40 54 46 52 30 33 26 12 29 39 25 48 Assume both follow a Normal distribution. What can be concluded at the the a = 0.01 level of significance level of significance? For this study, we should use t-test for the difference between two indecendent population means a. The null and alternative hypotheses would be: | (please enter a decimal) | (Please enter a decimal) He: p1 p2 u2 b. The test statistic = -2.501 (please show your answer to 3 decimal places.) c. The p-value = 0.0157 d. The p-value is ? v a (Please show your answer to 4 decimal places.) e. Based on this, we should Select an answer )the null hypothesis. f. Thus, the final conclusion is that . O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population mean time in the shower for the poor is less than the population mean time in the shower for the rich. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the mean time in the shower for the eleven poor people that were surveyed is less than the mean time in the shower for the thirteen rich people that were surveyed. O The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to conclude that the population mean time in the shower for the poor is equal to the population mean time in the shower for the rich. O The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean time in the shower for the poor is less than the population mean time in the shower for the rich.
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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