Which of the following are correct general statements about the Central Limit Theorem? (Select all that apply. To be marked correct: All of the correct selections must be made, with no incorrect selections.) Question 3 options: Its name is often abbreviated by the three capital letters CLT. The accuracy of the approximation it provides, improves as the sample size n increases. The word Central within its name, is meant to signify its role of central importance in the mathematics of probability and statistics. It is a special example of the particular type of theorems in mathematics, which are called Limit Theorems. It specifies the specific standard deviation of the curve which approximates certain sampling distributions. The accuracy of the approximation it provides, improves when the trial success proportion p is closer to 50%. It specifies the specific shape of the curve which approximates certain sampling distributions. It specifies the specific mean of the curve which approximates certain sampling distributions.
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.
Which of the following are correct general statements about the Central Limit Theorem?
(Select all that apply. To be marked correct: All of the correct selections must be made, with no incorrect selections.)
Question 3 options:
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Its name is often abbreviated by the three capital letters CLT. |
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The accuracy of the approximation it provides, improves as the |
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The word Central within its name, is meant to signify its role of central importance in the mathematics of probability and statistics. |
|
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It is a special example of the particular type of theorems in mathematics, which are called Limit Theorems. |
|
|
It specifies the specific standard deviation of the curve which approximates certain sampling distributions. |
|
|
The accuracy of the approximation it provides, improves when the trial success proportion p is closer to 50%. |
|
|
It specifies the specific shape of the curve which approximates certain sampling distributions. |
|
|
It specifies the specific mean of the curve which approximates certain sampling distributions. |
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