Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u 204 days and standard deviation o 21 days. Complete parts (a) through (f) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). * epenaent ranaom sampies or sıze n= 37 pregnancies were optainea trom inıs popuianon, we wouid expect sampie(s) to nave a sampie mea of 196 days or less. O C. If 100 independent random samples of size n= 37 pregnancies were obtained from this population, we would expect of 196 days or more. sample(s) to have a sample mea (e) What might you conclude if a random sample of 37 pregnancies resulted in a mean gestation period of 196 days or less? This result would be unusual, so the sample likely came from a population whose mean gestation period is less than 204 days. (f) What is the probability a random sample of size 19 will have a mean gestation period within 12 days of the mean? The probability that a random sample of size 19 will have a mean gestation period within 12 days of the mean is (Round to fo decimal places as needed.
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.
Part f
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