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
statuscvo [17]
3 years ago
6

In an inductive generalization, in order to achieve an error margin of plus or minus 3 percentage points at a confidence level o

f about 95 percent, whats the smallest random sample we can get away with, regardless of the size of the target population
Mathematics
1 answer:
ANTONII [103]3 years ago
6 0
Let n =  required random sample size.

Assume that the population standard deviation is known as σ.
Let m =  sample mean.
At the 95% confidence level, the expected range is
(m - k(σ/√n), m + k(σ/√n))
where k = 1.96.

Therefore the error margin is 1.96(σ/√n).
Because the error margin is specified as 3% or 0.03, therefore
(1.96σ)/√n = 0.03
√n = (1.96σ)/0.03
n = 128.05σ²

This means that the sample size is about 128 times the population variance.

Answer:
Smallest sample size = 128.05σ², where σ = population standard deviation.
You might be interested in
The length of a rectangle is 1/4 ft. it's width is 1 1/2 ft. what is the perimeter?
Mrac [35]

Answer

11.5 ft

Step-by-step explanation:

Perimeter of rectangle:2(l+w)

l :1/4 ft w:11/2 ft

2(1/4+11/2)=11.5

7 0
3 years ago
Read 2 more answers
X+6y=7<br> 24y=-4x<br> find x and y
Y_Kistochka [10]
No solution to this problem
6 0
3 years ago
Read 2 more answers
the diameter of the a sphere is increading at the rate of 2cm. per minute. Find the rate of change of the radius
____ [38]
So...the diameter is increasing at a rate if 2cm/minute, therefore the radius (1/2 the diameter) is increasing at half the rate. You will learn how to calculate the rate of change at a specific point in time in calculus.
3 0
3 years ago
Complete the table below.
Nana76 [90]
Angle 1 is 122 degrees bc of vertical angle
Angle 2 is 87 degrees bc of alt ext angle converse
Angle 3 93 degrees
Angle 4 is 58 degrees
7 0
2 years ago
Write the equation of the line in slope-intercept form that has the following points: (4, 5) (-1, 2)
Dima020 [189]

Answer:

C. y = 3/5x + 13/5

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • It is legal to write a check when your account does not have funds to cover it.
    9·2 answers
  • two joggers run 8 miles north and then 5 miles west. what is the shortest distance, to the nearest tenth of a mile, they must tr
    7·1 answer
  • What is negative 4x plus 5 equals negative 15
    5·2 answers
  • Why 16 not a perfect cube
    8·1 answer
  • 1. Describe the transformations necessary to transform the graph of
    6·1 answer
  • What is the gcf of 60 and 72
    9·1 answer
  • Jean junction is selling jeans at $25.00 and the tax sale rate is 8.25%. What is the total price you will pay
    13·1 answer
  • Write 6/7 as a decimal rounded to the nearest hundredth
    14·1 answer
  • Last week, Sarah worked for 13 hours at her part time job. If she earned $143.00 for the week, how much did she earn per hour?
    11·1 answer
  • I GIVEEEE BRAINLILST
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!