EEE Dept Engineering Topics List

Testing of Hypothesis | Statistics

Subject and UNIT: Statistics and Numerical Methods: Unit I: Testing of Hypothesis

Statistics and Numerical Methods : Unit - 1 : Testing of Hypothesis : Statistics and Numerical Methods : '2' Marks Questions and Answers

Solved Example Problems | Testing of Hypothesis | Statistics

Subject and UNIT: Statistics and Numerical Methods: Unit I: Testing of Hypothesis

The development of a test procedure for these hypothesis requires a new probability distribution called F distribution.

Solved Example Problems | Testing of Hypothesis | Statistics

Subject and UNIT: Statistics and Numerical Methods: Unit I: Testing of Hypothesis

Let us consider two attributes A and B. A divided in r classes A1, A2, ... A, and B divided into S classes B1, B2, ... Bs. If this is expressed as r × s matrix, the matrix is called r × s contingency table.

Solved Example Problems | Testing of Hypothesis | Statistics

Subject and UNIT: Statistics and Numerical Methods: Unit I: Testing of Hypothesis

A very powerful test for testing the significance of the discrepancy between theory and experiment was given by prof. Karl-Pearson in 1990 and is known as "Chi-square test of goodness of fit".

Solved Example Problems | Testing of Hypothesis | Statistics

Subject and UNIT: Statistics and Numerical Methods: Unit I: Testing of Hypothesis

By comparing the calculated value of x2 with the table value of x2 for n-1 degrees of freedom at any required level of significance we may accept or reject the null hypothesis.

Solved Example Problems | Testing of Hypothesis | Statistics

Subject and UNIT: Statistics and Numerical Methods: Unit I: Testing of Hypothesis

Suppose, we want to test, if two independent samples x1, x2, … n1 and y1, y2, ... yn2 of sizes n1 and n2 have been drawn from two normal population with means μ1 and μ2 respectively.

Solved Example Problems | Testing of Hypothesis | Statistics

Subject and UNIT: Statistics and Numerical Methods: Unit I: Testing of Hypothesis

It is used to test the significance of the difference of the mean of a random sample and the mean of the population

Solved Example Problems | Testing of Hypothesis | Statistics

Subject and UNIT: Statistics and Numerical Methods: Unit I: Testing of Hypothesis

Suppose we want to compare 2 district populations with regard to possession of an attribute. Let a sample of size n1 be chosen from the first population and another sample of size n2 be chosen from the second population.

Solved Example Problems | Testing of Hypothesis | Statistics

Subject and UNIT: Statistics and Numerical Methods: Unit I: Testing of Hypothesis

If X is the number of successes in n independent trials with constant probability P of success for each trial.

Working Procedure, Steps, Solved Example Problems | Testing of Hypothesis | Statistics

Subject and UNIT: Statistics and Numerical Methods: Unit I: Testing of Hypothesis

Consider two different normal populations with mean μ1 and M2 and S.D σ1 and σ2 respectively. Let a sample of size n1 be drawn from the first population and an independent sample of size n2 be drawn from the second population.

Solved Example Problems | Testing of Hypothesis | Statistics

Subject and UNIT: Statistics and Numerical Methods: Unit I: Testing of Hypothesis

If the size of the sample n > 30, then that sample is called large sample.

Theorem | Testing of Hypothesis | Statistics

Subject and UNIT: Statistics and Numerical Methods: Unit I: Testing of Hypothesis

The probability distribution of a sample statistic is often called the sampling distribution of the statistic.