1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Flauer [41]
3 years ago
7

When sampling without replacement from a finite population of size N, the following formula is used to find the standard deviati

on of the population of sample means: σ = However, when the sample size n, is smaller than 5% of the population size, N, the finite population correction factor, , can be omitted. Explain in your own words why this is reasonable. For N = 200, find the values of the finite population correction factor when the sample size is 10%, 5%, 3%, 1% of the population, respectively. What do you notice?
Mathematics
1 answer:
nirvana33 [79]3 years ago
5 0

Answer:

Check below for the required explanations

Step-by-step explanation:

The population correction factor is given by the formula :

PCF = [(N-n)/(N-1)]^1/2..........(1)

a) When the sample size is smaller than 5% of N. That is n < 0.05N

If n = 0.05N is substituted into the PCF formula, PCF will be approximately 1.

For a value of 1, PCF can be safely ignored.

b) N = 200

i) n = 10% N

n = 0.1 × 200 = 20

Substitute n = 20 into equation (1)

PCF = (200-20)/(200-1)]^1/2

PCF = 0.95

ii) n = 5% N

n = 0.05× 200 = 10

Substitute n = 20 into equation (1)

PCF = (200-10)/(200-1)]^1/2

PCF = 0.98

iii) i) n = 3% N

n = 0.03 × 200 = 6

Substitute n = 20 into equation (1)

PCF = (200-6)/(200-1)]^1/2

PCF = 0.99

iiii) n = 1% N

n = 0.01 × 200 = 2

Substitute n = 20 into equation (1)

PCF = (200-2)/(200-1)]^1/2

PCF = 0.998(approx. =1)

It is noticed that the smaller the sample size, the closer the population correction factor to unity. At 1% of the population, the population correction factor is negligible

You might be interested in
.help me ............
il63 [147K]
35=x

180-75=105

X+2x=3x

105=3x

X=35
4 0
3 years ago
99 newspapers in 3 piles
monitta

Answer:

33 newspapers per 1 pile.

Step-by-step explanation:

33+33+33=99

5 0
3 years ago
Read 2 more answers
kimmy earns a $200 commission on all sales plus a base salary of $30,000 her total income last year was $80,000. I need an equat
brilliants [131]
I think the answer is:
30,000+200s = 80,000
where s represents the sales
6 0
3 years ago
makenzie earns 12.50 per hour being a lifeguard. how much will she earn in 5 days if she works 7 hours each day
TEA [102]
5(12.50 x 7) = 437.5

Explanation: you take the amount she makes for one hour (12.50), times it with the hours she works in a day (7), and then times it with how many days she works (5).
5 0
3 years ago
There are 100 bacteria in a jar. Every day, the number of bacteria increases 25%. In approximately how many days will there be 5
algol [13]

Use compound interest formula

\\ \rm\Rrightarrow P(1+r/100)^t=500

\\ \rm\Rrightarrow 100(1+0.25)^t=500

\\ \rm\Rrightarrow (1.25)^t=5

\\ \rm\Rrightarrow log(1.25)^t=log5

\\ \rm\Rrightarrow tlog1.25=log5

\\ \rm\Rrightarrow t(0.097)=0.3

\\ \rm\Rrightarrow t=3.3\approx 3

Option A

5 0
2 years ago
Read 2 more answers
Other questions:
  • What is the sum? 8 + (negative 12) –20 –4 4 20
    6·2 answers
  • Can someone help me with this question please!!!!!
    11·1 answer
  • Solve the equation if x and y are whole numbers? 4xy + 8 = 36
    7·1 answer
  • Ax + z = aw - y<br> Solve for a
    9·1 answer
  • Which of the following is not preserved under a dilation?
    9·1 answer
  • Riley and Rhoda plan to buy several bags of dog food and a dog collar. Each bag of dog food costs $7, and the dog collar cost $5
    11·1 answer
  • Order the values from least (on top) to greatest (on bottom). <br> 43%<br> 3/7 <br> 0.41
    13·1 answer
  • -1/12 to the second power? Halp me plz
    14·2 answers
  • The game has 12 three-minute rounds. If the players stop after two minutes of the twelfth round, for how many minutes did they p
    10·1 answer
  • Brainliest scattered plots and ignore what it says on 7 and 8
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!