Enrique and Yolanda collected 500 pieces of candy on Halloween. they gave half of their candy to charity. Yolanda took 180 piece
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Answer:
And the margin of error with this one:
Step-by-step explanation:
Assuming that the parameter of interest is the sample mean . And we can estimate this parameter with a confidence interval given by this formula:
(1)
For this case the confidence interval is given by (1.9, 3.3)
Since the confidence interval is symmetrical we can estimate the sample mean with this formula:
And the margin of error with this one:
Suppose we choose 
and 
. Then
Now suppose we choose
such that
where we pick the solution for this system such that
. Then we find
Note that you can always find a solution to the system above that satisfies as long as 
. What this means is that you can always find the value of 
as a (constant) function of 
.
Now suppose we choose
where we pick the solution for this system such that
Note that you can always find a solution to the system above that satisfies