Answer:
a) Mean 0.11 and standard deviation 0.0044.
b) Mean 0.11 and standard deviation 0.0099.
c) Mean 0.11 and standard deviation 0.0198
Step-by-step explanation:
Central Limit Theorem:
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation
In this question:
a. For a random sample of size n equals 5000.
Mean:
Standard deviation:
Mean 0.11 and standard deviation 0.0044.
b. For a random sample of size n equals 1000.
Mean:
Standard deviation:
Mean 0.11 and standard deviation 0.0099.
c. For a random sample of size n equals 250.
Mean:
Standard deviation:
Mean 0.11 and standard deviation 0.0198
Answer:
ok so 120+160+200+192= 672
Step-by-step explanation:
It can be helpful to use technology (a spreadsheet program or graphing calculator) to help you with iterated functions. What you are doing is evaluating the function using its output as new input.
(A) Whenever the magnitude of the slope of a function is less than 1, it will iterate toward the point where it intersects the line y = x. Here the magnitude o the slope is 1/2, so the final value in this case will approach
.. x = y = (-1/2)x +3
.. 3/2x = 3 . . . . . . . . add x/2
.. x = 2 . . . . . . . . . . . multiply by 2/3
You can see several iterations in the table in the figure here.
(B) The values get closer to 2 in each case.
_____
Iteration of this function is like drawing a spiral on the graph. Start with some point on the function curve, such as (0, 3). Draw a horizontal line to the line y=x. this gives you x=3. Now draw a vertical line to the function curve. This will give you the point (3, f(3)) = (3, 1.5). Draw a horizontal line to y = x, repeating as many times as you like. You will see the points get closer and closer to (2, 2) with each loop around the spiral.
If the slope of the function is greater than 1, the "spiral" will diverge instead of converging.
Some shape is defined by the shape of the object in which the shape is a sphere and not a triangle