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

Histogram and historigram, #qudistinguish between histogram and historigram...

#qudistinguish between histogram and historigram estion..

Simulation , The Neatee Eatee Hamburger Joint specializes in soyabean burge...

The Neatee Eatee Hamburger Joint specializes in soyabean burgers. Customers arrive according to the following inter - arrival times between 11.00 am and 2.00 pm: Interval-arrival

Explain research terminology, Q. Explain Research Terminology? Research...

Q. Explain Research Terminology? Research Terminology - Independent and Dependent variables: There are many practical problems in which the values of one variable depend upon t

Quartiles, QUARTILES The three points on the scale  of observation ( o...

QUARTILES The three points on the scale  of observation ( or  values  of the variable) which  divide  the total  frequency  into four  equal  parts are called  quartiles for t

Comparing tablet personal computers with personal computer, Background: ...

Background: The use of "Tablet Personal Computers" such as HP's TouchPad and Apple's iPad has been increasing over the past several years. Task: Using a web browser and quality,

Operations research as a decision-making sci, Short Define operations resea...

Short Define operations research as a decision-making science

Binomial distriubiton - probability distribution , BINOMIAL DISTRIUBITON ...

BINOMIAL DISTRIUBITON This  distribution  (also known  as Bernoulli  distribution ) is useful  in such  an experiment where  there  are only two  outcomes success or failure g

Use of the graphs, Use  of the Graphs a . It simplifies  the complexi...

Use  of the Graphs a . It simplifies  the complexities of large numbers  or that of  large mass  of data. In general  graphical  or some  other method or representation  is ad

Determine the optimal assignment., #questiSix Operators are to be assigned ...

#questiSix Operators are to be assigned to five jobs with the cost of assignment in Rs. given in the matrix below. Determine the optimal assignment. Which operator will have no ass

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