Importance of normal distribution , Operation Research

Importance of Normal Distribution

Normal distribution  plays  a very  important  role in  statistical  theory  and in  particular  in sampling theory. It has  been  found  that:

a.Data  obtained  from  psychological  physical  and biological measurements  approximately follow normal  distribution .I. Q  scores heights and  weights  of individuals  diameters of machines  parts lengths of tobacco leaves are example of  measurements which are normally distributed  or nearly no.

b. Distribution like binomial  Poisson  etc can be  approximated to normal distribution,

If the number  of trials  nis   indefinitely large  and  neither  p nor q is very   small than binomial  distribution  tends  of normal  distribution.

 If the  parameter  m is  indefinitely large ( i, e, if m ) then  Poisson distribution  tends to normal distribution.

c.For large  samples  any  statistic  ( i ,e,  sample mean s, d, etc)  approximately  follows  normal  distribution  and such  it can be  studied with  the help  of normal  curve.

d.Normal  curve  is used  to find confidence  limits  of the  population  parameters.

e.Normal  distribution  are largely applied  in statistical quality  control  in industry  for  finding  control  limits.

f.The theory  of errors  of observation  in physical  measurements  is based  on normal  distribution.

Posted Date: 3/5/2013 10:19:04 PM | Location : United States







Related Discussions:- Importance of normal distribution , Assignment Help, Ask Question on Importance of normal distribution , Get Answer, Expert's Help, Importance of normal distribution Discussions

Write discussion on Importance of normal distribution
Your posts are moderated
Related Questions
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

Chi square Test for the Population variance When we want  to test that  a random  sample  has been  drawn  from  a normal  population having specified variance then X2 statist

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


Statement of Hypothesis The  two hypothesis  i  ,e,  null hypothesis  (H 0 ) and Alternative Hypothesis (H 1 ) are so  constructed  that if  one is  correct the other  is wron

Problem 1 (Problem 23, page 507) At a machine tool plant, five jobs must be completed each day. The time it takes to do each job depends on the machine used to do the job. If a mac

35mm Slider  35 mm Slider like OHP transparencies casts  an images but they  have different  uses and  properties. They are used  to show an actual photographic  images in the

how do you calculate using this method where the least cost appears twice

Operations research is used by manager in making business decisions. What are five each of its merit and demerit that the users need to be aware of?