Answer:
Design 3: An SRS of size 3000 from a population of size 300,000,000
Step-by-step explanation:
To check the SRS designs will give the most precision (smallest standard error) for estimating a population mean, we'll make use of the following formula:
V(y) = S²/n( 1 - n/N)
Where S² is a constant for the three SRS designs
Check the first design
n = 400
N = 4000
So, V(y) = S²/400 (1 - 400/4000)
V(y) = S²/400(1 - 0.1)
V(y) = 0.0025S²(0.9)
V(y) = 0.00225S²
V(y) = 2.25S²E-3
The second design
n = 30
N = 300
So, V(y) = S²/30 (1 - 30/300)
V(y) = S²/30(1 - 0.1)
V(y) = S²/30(0.9)
V(y) = 0.03S²
V(y) = 3S²E-2
The third design
n = 3,000
N = 300,000,000
So, V(y) = S²/3,000 (1 - 3,000/300,000,000)
V(y) = S²/3,000(1 - 0.00001)
V(y) = S²/3,000(0.99999)
V(y) = 0.00033333
V(y) = 3.33S²E-4
15 square units
Not sure...
Answer:
roast beef is 48
Step-by-step explanation:
vegetarian is 32
Answer: Area is 20
Step-by-step explanation:
Perimeter of a rectangle is 24
Let the length be x
Let the breadth be Y
Length is 5times the breadth
I.e
X=5y
Formula for perimeter of a rectangle is
2(length + breadth)
= 2(x+y)
Substitute for x=5y
2(5y+y)=24
2(6y)=24
6y=24/2
6y=12
Y=12/6
Y=2
Breadth = 2
Since length =5y
Length=5(2)
Length = 10
Area of a rectangle = length × breadth
Area= 10×2
Area = 20
Area of the rectangle is 20
6x-9=39
+9 +9
6x=48
x=48/6
x=8
And yes it is true