Find out the relevant coefficient <math>k</math> of <math>\bar{x}\ \pm\ k \frac{s}{\sqrt{n}}</math> from t-distribution table by using desired CI range and degrees of freedom.
==Probability, Likelihood==
===Probability===
Given a dataset of a sample derived from a population, of which observed values and distribution (e.g., normal distribution, binary distribution, logistic distribution, etc.) are known, its parameters (e.g., mean and standard deviation, success probability and number of trials, location and scale, etc. ) can be obtained.
Chance that a value <math>x_i</math> in the sample is in a range of certain values (e.g., <math>x_i > n</math>) can also be calculated from the dataset. This chance is <math>probability</math>.
:<math>probability = P(x_i\text{ in a range}|\text{parameters})</math>
===Likelihood===
Given a dataset of a sample derived from a population, of which observed values and distribution