Steps involved in hypothesis testing of the mean , Operation Research

Assignment Help:

 Statement of Hypothesis

The  two hypothesis  i  ,e,  null hypothesis  (H0) and Alternative Hypothesis (H1) are so  constructed  that if  one is  correct the other  is wrong. Generally the Null  Hypothesis  for  testing  the mean  will take  any one  of the followings  forms:

H0 : µ ≤ µ0         H0 : µ µ0                             H0 : µ = µ0

Where= population mean and  µ0  hypothesis value .  

Step 2. Specification  of Significant level

The validity  of H0 against H1 is then  ascertained  at a certain level of  significance. The  significance level stands  for the  confidence  with  which  the experimenter  rejects  or retains the null  hypothesis. Significance  level is usually  expressed as percentage or by the value  of α i ,e, 5% or α= =0.05.

Step3.  Formulation  of the Rejection and Acceptance Regions

The  followings  table give the typical  cases of  setting  up the  regions  of rejection acceptance for the various  cases of H0 with the  hypothesized  value   of the population mean.

Making  the Inference

On the  basis  of the  sample  mean  calculated from  the sample data a decision is made  from the  rule  given  in step4. If the samples  mean lies in the region of rejection, null hypothesis  H0 is rejected while  alternative HypothesisH1 is accepted. If  the samples  mean  lies in the region of acceptance the alternative  step has been  done. From  the  figure  above  one can  observe that the  area in the tails equal the  level of significance. For  one tailed test  appear in one tail  and for  two tailed test α/ 2 appears in  each  tail  of the  curve.

 


Related Discussions:- Steps involved in hypothesis testing of the mean

Study the case and provide an alternative compensati, #queStudy the case an...

#queStudy the case and provide an alternative compensation design, which would redress the problem faced by the two- wheeler major in Chennai.stion..

Research an issue related to computer networks, Assignments should be submi...

Assignments should be submitted via FLO by the above deadline. Penalties for late submission are as set out in the topic SAM on FLO. Extensions can be granted in line with standard

Understandibg concepts, what are the preconceptions do you bring to the stu...

what are the preconceptions do you bring to the study of research

Government documents - classification of documents, Government Documents: ...

Government Documents: Government  publications are the official documents brought out at government expense. They are the records of activities of the (1) Executive, (2) Legis

User groups - information resources, User Groups: The next step would ...

User Groups: The next step would be to identify more specifically the potential user groups. This may be done on the basis of interviews, questionnaires, study of organisation

Linear programming, A paper mill produces two grades of paper viz., X and Y...

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 paper i

Linear programing, A paper mill produces two grades of paper viz., X and Y....

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 paper i

Operational performance and price, An electro-mechanical product for use in...

An electro-mechanical product for use in a vehicle has been in widespread use for some time and has proved popular with customers, in terms of its operational performance and price

Answering lp problems, ABC Company manufactures both interior and exterior ...

ABC Company manufactures both interior and exterior paints from 2 raw materials M1 and M2. The following table gives basic data of problem.     Exterior

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