Finite population correction factor or fpcf), Mathematics

Assignment Help:

Finite Population Correction Factor Or Fpcf)

If a specified population is relatively of small size and sample size is more than 5 percent of the population then the standard error must be adjusted by multiplying it by the finite population correction factor as:

FPCF is described by   = 13_Finite Population Correction Factor Or Fpcf).png

 

Whereas N = population size

                 n = sample size

 

Illustration

A manager wants an estimate of sales of salesmen in his company. A random sample 100 out of 500 salesmen is chosen and average sales are found to be Shs. 75,000. If a sample standard deviation is Shs. 15000 then determines the population mean at 99 percent level of confidence

Solution

Now N = 500, n = 100,  x¯ = 75000 and S = 15000

Here

Standard error of mean

Sx¯ = (s/√n) * {2298_Finite Population Correction Factor Or Fpcf).png}

 

= (15,000/√100) * (√ {(500 - 100)/(500 - 1)})

= (15,000/10) * (0.895)

S= 1342.50 at 99 percent level of confidence

Population mean         = x¯ ± 2.58 S

                                    =shs 75000 ± 2.58(1342.50)

                                    =shs 75000 ± 3464

                                    = Shs 71536 to 78464


Related Discussions:- Finite population correction factor or fpcf)

Prove that abc=60 degree, ABC is a right triangle right-angled at C and AC=...

ABC is a right triangle right-angled at C and AC=√3 BC. Prove that ∠ABC=60 o . Ans:    Tan B = AC/BC Tan B = √3 BC/BC Tan B =√3 ⇒ Tan B = Tan 60 ⇒ B = 60

What is the value of tan in terms of sin, What is the value of tan? in term...

What is the value of tan? in terms of sin?. Ans:    Tan ? = S i n ?/ C os ? Tan ? = S i n ? / √1 - S i n   2?

Tangents, find a common tangent to two circles

find a common tangent to two circles

Lattice or complement lattice, Let  be the set of all divisors of n. Constr...

Let  be the set of all divisors of n. Construct a Hasse diagram for D15, D20,D30. Check whether it is a lattice Or Complement lattice.

Probability that a leap year will have 53 sunday?explain, A leap year has 3...

A leap year has 366 days, therefore 52 weeks i.e. 52 Sunday and 2 days. The remaining 2 days may be any of the following : (i) Sunday and Monday (ii) Monday and Tuesday (iii)

Question, What is a marketing plan

What is a marketing plan

What is the diameter of the pipe along with the insulation, A pipe has a di...

A pipe has a diameter of 2.5 inches. Insulation which is 0.5 inches thick is placed around the pipe. What is the diameter of the pipe along with the insulation around it? The i

.fractions, what is the difference between North America''s part of the tot...

what is the difference between North America''s part of the total population and Africa''s part

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