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]
2 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]2 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
Yooo I just had MAD diarrhea D:
kow [346]
I’m sorry I usually drink water you can lose a lot of water while doing that . Try to not a lot maybe some crackers
5 0
3 years ago
A bag of potatoes weighs about
ruslelena [56]
Bag of potatoes are usually 10 pounds
5 0
2 years ago
Solve log(2)(4x+8)=5
marysya [2.9K]
4x+8 = 32, 4x = 24, x = 6
6 0
3 years ago
Solve the equation for y <br> -2x+y=11
boyakko [2]
Hi Dezariaspencer

All we have to do is simply add 2x to both sides and we have our answer.

Answer: y = 11 + 2x.

Thank you for asking your question, have a good day.
3 0
3 years ago
Read 2 more answers
11. Find the average rate of change of the equation y = x2 + 4x + 1 on the interval -1 &lt; x &lt; 4.
coldgirl [10]

Answer:

31/5

Step-by-step explanation:

[f(4) - f(-1)] / 4-(-1)

7 0
2 years ago
Other questions:
  • Bill measures the circumference of a circular fish pond to be 28 ft. What is the diameter of the fish pond, rounded to the neare
    15·1 answer
  • Suppose that in the market for ice cream the elasticity of supply is equal to 1.50. How would a 10% increase in the price of ice
    7·1 answer
  • Plzz Help!! WIll Upvote!!
    9·1 answer
  • A quadratic function in the form of y=ax2+bx+c if c is repeatedly increased by one to create new functions how are the graphs of
    12·1 answer
  • 1.Bill and Lisa are surveying their classmates about their summer reading. Their questions are given below:
    5·2 answers
  • I need help right away with the next problem.
    7·1 answer
  • What is the mean?<br><br> 5,8,9,4,8,5,9,7,8
    5·2 answers
  • Please helppp
    11·1 answer
  • Calculate the circumference of this circle π3.14 radius= 36 in
    5·1 answer
  • At the city museum, child admission is $5.30 and adult admission is $9.70. On Sunday, 147 tickets were sold for a total sales of
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!