form of t- distribution - hypothesis testing , Operation Research

Assignment Help:

 Form of t- Distribution

1. The students  t - distribution  like the  normal  distribution has bell shaped frequency  curve which is symmetrical. The only  parameter which  determine the shapes  of the curve  is the  degree of freedom. With a change  in the degrees of freedom the shape of the curve  will also  change.

2.The  mean of the  t- distribution  is zero. This is so  case of normal  curve also.

3.The variance  of t- distribution   is greater than one and  as the sample size increase it  tends to  move towards unity. It is for the reason  that it  has been mentioned above that the  single parameter which change the form of  distribution  are the degrees of freedom or the size of the  sample. If samples  size  becomes  very large  there is no difference  between  distribution and  normal  distribution .

4.T distribution  can be used even in case of large  samples  but the  large sample theory  cannot  be  use for  small  samples.

5. The value  of t ranges from  minus infinity to plus  infinity.

The followings  diagram  gives the steps  of distribution  and a normal  distribution. It would  be noted  that as the  degrees of  freedom  changes  the shapes  of the t- distribution  also  changes.

the  above  diagram  shows two important characteristics of  t- distributions. First a t- distribution  is lower at the mean  and higher  at the  tails  than a normal  distribution. Second  the  distribution  has  proportionately greater area  in its  tails than  the normal  distribution. Interval widths from t- distribution  are therefore wider than  those  based on the normal  distribution.

 

 


Related Discussions:- form of t- distribution - hypothesis testing

Tower of hanoi problem, Step 1: Research Towers of Hanoi problem The Tow...

Step 1: Research Towers of Hanoi problem The Towers of Hanoi is a problem frequently used to teach recursive programming techniques. Step 2: Run the assembly code from Hanoim

Lpp using sipmle method, Maximize Z= 3x1 + 2X2 Subject to the constraints: ...

Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X1, X2 = 0

Importance of normal distribution , Importance of Normal Distribution ...

Importance of Normal Distribution Normal distribution  plays  a very  important  role in  statistical  theory  and in  particular  in sampling theory. It has  been  found  th

Optimization, Find a minimum cost spanning arborescence rooted,

Find a minimum cost spanning arborescence rooted,

Evolutionary methods, This methods studies development from simpler forms...

This methods studies development from simpler forms through a long series of a small change. Each change by itself results in minor modification in the phenomenon but the

Information resources, INFORMATION RESOURCES: Information resources ar...

INFORMATION RESOURCES: Information resources are of two kinds, namely, Documentary and Non-Documentary Sources. Documentary Sources: A document embodies thought. I

Calculation of ranks correlation , Calculation of Ranks Correlation W...

Calculation of Ranks Correlation Where Ranks  are Given: When the  actual  ranks  are given  the steps  followed are: a.Compute  the difference  of the  two ranks  (R1 and

Describe multinational corporations, Question 1 -Though society as well as...

Question 1 -Though society as well as culture do not appear to be a part of business situations, yet they are actually key elements in showing how business activities will be cond

Line balancing, what will happen when line balance doesn not exist

what will happen when line balance doesn not exist

Analyse the average number and mean number, Consider the closed network of ...

Consider the closed network of the following figure. The number at the arrows give the transition probabilities for a customer leaving the queue to route to a subsequent queue. Eve

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd