90% Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 15 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.09 oz, and they appear to be from a normally distributed population. If the workers want the filling process to work so that almost all cans have volumes between 11.95 oz and 12.47 oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.13 oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.13 oz. Use a 0.01 significance level. Complete parts (a) through (d) below. 8.96% a. Identity the null and alternative hypotheses. Choose the correct answer below. 9.75% O A. Ho: o= 0.13 oz H:0 0.13 oz B. Ho: o = 0.13 oz H:0<0.13 oz O C. H,: o2 0.13 oz H1:0<0.13 oz O D. Ho: o>0.13 oz H:0=0.13 oz b. Compute the test statistic. %3D (Round to three decimal places as needed.) c. Find the P-value. Click to select your answer(s). to search 8:3 5/1 DELL F3 F4 F5 F6 F8 # F9 F10 F11 F12 PrtScr Inse %24 & %23 almost all cans have Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.13 oz. Use a 0.01 significance level. Complete parts (a) through (d) below. b. Compute the test statistic. umes betwe 02, 8.96% ts 9.75% %3D (Round to three decimal places as needed.) c. Find the P-value. P-value = %3D (Round to four decimal places as needed.) d. State the conclusion. Do not reject Ho, because the P-value is less than or equal to the level of significance. There is sufficient evidence to conclude that the population standard deviation of can volumes is less than 0.13 oz. ts Click to select your answer(s). ai, 8:38 PM re to search 5/1/2020 DELL F2 F6 F8 F9 F10 prtsę F11 F12 PrtScr Insert %24 E R T. Y * 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.
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