Concerns about climate change and CO2 reduction have initiated the commercial production of blends of biodiesel (e.g., from renewable sources) and petrodiesel (from fossil fuel). Random samples of 46 blended fuels are tested in a lab to ascertain the bio/total carbon ratio. (a) If the true mean is .9400 with a standard deviation of 0.0030, within what interval will 90 percent of the sample means fall? (Round your answers to 4 decimal places.) The interval is from to (b) If the true mean is .9400 with a standard deviation of 0.0030, what is the sampling distribution of X ? 1. Exactly normal with µ = .9400 and o = 0.0030. 2. Approximately normal with µ = .9400 and o = 0.0030. 3. Exactly normal with u = .9400 and o = 4. Approximately normal with µ = .9400 and og 0.0030 /V46. 0.0030 /V46. %3D 01 0 2 3
Optimization
Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.
Integration
Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.
Application of Integration
In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.
Volume
In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).
Area
Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.
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