Tinterval Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts (a) through (c) below. (13.046,22.15) X= 17.598 Sx = 16.01712719 E Click the icon to view at distribution table. n= 50 a. What is the number of degrees of freedom that should be used for finding the critical value t/2? df = (Type a whole number.) b. Find the critical value ta/2 corresponding to a 95% confidence level. (Round to two decimal places as needed.) c. Give a brief general description of the number of degrees of freedom. O A. The number of degrees of freedom for a collection of sample data is the number of unique, non-repeated sample values. B. The number of degrees of freedom for a collection of sample data is the number of sample values that can vary after certain restrictions have been impose on all data values. OC. The number of degrees of freedom for a collection of sample data is the number of sample values that are determined after certain restrictions have been imposed on all data values. O D. The number of degrees of freedom for a collection of sample data is the total number of sample values.

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Minimization

In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in terms of global or local range. The definition of minimization in the thesaurus is the process of reducing something to a small amount, value, or position. Minimization (noun) is an instance of belittling or disparagement.

Maxima and Minima

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

Derivatives

A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which one would be easier? Walking on the road would be much easier than climbing a mountain.  

Concavity

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the first derivative test and second derivative test to understand the concave behavior of the function.