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

Determine the best age at which to replace the machine, Question: Machi...

Question: Machine A costs Rs. 9000. Annual operating costs are Rs. 200 for the first year, and then increase by Rs. 2000 every year. Suppose that the machine has no resale valu

Research design and methodology , Case Study - Research Design RJR N...

Case Study - Research Design RJR Nabisco Ever since the health aspects  of smoking  became  a public  issue  shortly after world war II the tobacco industry knew there

Phases of an or project, give me an example of pre-modelling, modelling and...

give me an example of pre-modelling, modelling and post modelling phases

How to solve operation research optimization questions, how to solve operat...

how to solve operation research optimization questions

Inflation, Inflation Inflation is a general...

Inflation Inflation is a general increase in the price of goods and services. The inflation rate, as measured by the

Identifying the solution to a problem, Software House named as Harvester, g...

Software House named as Harvester, got to increase the speed of service and I need to get 3000 words written

Plz get the ans , #questioA paper mill produces two grades of paper viz., X...

#questioA 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

Cgj, application&techniques

application&techniques

Some guidelines for bibliography entries , Some Guidelines  for Bibliograp...

Some Guidelines  for Bibliography Entries 1. Reference of a Back  by One Authors : Mention authors  name book title ( in italics hence  to be  underlined) city  publication

Hypothesis building and testing, Hypothesis  Building and Testing The...

Hypothesis  Building and Testing The foundation of hypothesis building  lies in discovering links between  elements  of your data. CAQDAS can help you to  discover these links

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