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The Nature of Statistical Inference

Statistical inference, in statistics it means that drawing conclusions from given data and data is subjected to random variables.
There are various ways in which stat- inference is experimented and also many approaches to performing stat- inference.
Statistical induction and inferential statistical are the two terms which helps us to describe the procedure that can be used to drawing the data from a given set of values.
This is simple statistical inference definition.
Now we better understand this concept by taking any example of stat-inference.
First example is, suppose a large box contains thousands of balls, some of them are green.
Let's call the fraction of green balls any constant like (x).
But value of constant is unknown to us.
We have to find the value of constant.
Another example of statistical inference, suppose we have again same box with thousands of balls.
This time again we have to calculate the fraction of green balls (x).
But this time we draw fifty balls randomly and we observed 28 green balls and 22 white balls.
In this problem we also use MATLAB function to calculate possible range of constant(x).
Third example of statistical inference is if we have given that a table, which contains five players randomly.
In each column given player's position, players team name and players salary annually.
Now from that table using the same technique we have to calculate the mean and standard deviation of player's salaries.
These are the three different statistical inference examples.
Now we also discuss here the procedure for solving these problems.
For statistical inference solution, we have to know fundamental concepts of probability and statistics.
In statistics we must know about measure of dispersion such as range, mean, median, mode, random variables, standard deviation, and variance and mainly about distribution.
To know more about stat-inference we also have some thoroughly study of distribution and types of distribution.
We know about random variables so based on random variable we can divide distribution in discrete and continuous form.
Discrete distributions are binomial, Poisson and hyper geometric distributions.
Discrete distribution denotes expected or average value of random variables.
Whereas continuous distribution are uniform, normal and exponential distributions.
At last the conclusion of stat-inference is we have to carry out variables based on data.
The data are supposed to come from any of two distribution family.
The members of given family are distinguished by differing by their values.
Normal distribution is good example for understanding the concept of stat- inference.
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