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

Linear programning, b. A paper mill produces two grades of paper viz., X an...

b. A 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 pape

Find out where you should now invest your money, Question : Suppose tha...

Question : Suppose that you want to invest $10000 in the stock market by buying shares in one of two companies: A and B. Shares in Company A are risky but could yield a 50% ret

Rehearse - report writing presentation , Rehearse Making  presentat...

Rehearse Making  presentation is not  simple. It  is extremely  important  for us  to realize the sanctity of rehearsing  to improve the quality of the presentation. Unless

Problems based on lpp when feasible region is a line segment, Problems base...

Problems based on LPP when feasible region is a line segment or it does not exist. 1.    Maximize z = 2x+3y subject to the constraints X + y ≤ 1 X + y ≥ 3 X,  y ≥ 0

Linear Equation, Cohen Chemicals, produces two types of photo-developing fl...

Cohen Chemicals, produces two types of photo-developing fluids. The first, a black and white picture chemical, costs Cohen $2500 per ton to produce. The second, a colour photo chem

Reference books - classification of documents, Reference Books: Defini...

Reference Books: Definition According to William  Katz (1969) a Reference book generally has the following qualities:  It is a miscellany of information organised for quick

Principles of report writing, Principles of Report Writing Reports wri...

Principles of Report Writing Reports writing  may  involve the followings principles . a. Easy to Follow : The body of the  report should  be written in a self evident and

Operations function - information system, The Operations Function has alway...

The Operations Function has always relied heavily on information for its smooth running. During this course information has been introduced as one of the five inputs to the convers

Jaguar, how jaguar implements aggregate planning?

how jaguar implements aggregate planning?

Important of demand forecasting, 1. Determination to enter a new territori...

1. Determination to enter a new territories. 2. To decide to enter a new market or not. 3. To determine how much production capacity to be builds up. 4. Helpful in

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