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

Research methodology, Research Methodology 1. Discuss how the researc...

Research Methodology 1. Discuss how the research will be executed to achieve the proposed research objectives. The methodology should be based on the methods that are used in

Lpp., Paper Mill Produces Two Grades Of Paper Viz x And y Because Of Raw Ma...

Paper Mill Produces Two Grades Of Paper Viz x And y Because Of Raw Material Restrictions It Cannot Produce More Than 400 Tons Of Grade x Paper And 300 Tons Of Grade y Paper In a We

Steps of research process, Steps of Research Process The steps of resear...

Steps of Research Process The steps of research process have already been discussed in theory. Here we shall outline the procedure of conducting the research. i) Formulate t

Sampling decision, Normal 0 false false false EN-IN X...

Normal 0 false false false EN-IN X-NONE X-NONE

Markov chain models - operation research model, These models are used for a...

These models are used for analyzing a system which changes over a period of time among various possible outcomes or states. The models while dealing with such systems describe tra

Uses of standard deviation - measure of dispersion, Uses   of Standard D...

Uses   of Standard Deviation Normal 0 false false false EN-IN X-NONE X-NONE

Chi square test as a test of homogeneit, Chi Square Test as a Test of Homog...

Chi Square Test as a Test of Homogeneit The X 2 test of homogeneity is an  extension of the chi square  test of independence of attributes. It is  designed to determine  whet

Big M method, Maximize p = (3)x + 2y subject to 2x + y 3x + 4y >= 12

Maximize p = (3)x + 2y subject to 2x + y 3x + 4y >= 12

Short question, write down any two assumption of L.P

write down any two assumption of L.P

Ranganathan''s principles, Ranganathan's Principles: Perhaps it would ...

Ranganathan's Principles: Perhaps it would be worthwhile to consider the Five Laws of Library Science of Dr. S. R. Ranganathan as the basic guidelines for formulating the obje

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