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Answer:
The margin of of error for a 95% confidence interval for the population mean is of 1.39 years.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
That is z with a pvalue of , so Z = 1.96.
The margin of error is:
In which is the standard deviation of the population and n is the size of the sample.
Population standard deviation of 3 years
This means that
Sample of 18 voters
This means that
Margin of error:
The margin of of error for a 95% confidence interval for the population mean is of 1.39 years.
In this problem, you have to find the y- intercept of 
. I graphed mine into a graphing calculator. An algebraic way to find it is to input x=0 in the function. The y-intercept is 5. You can see the y-intercept for the new one is -2. That means we shifted the graph down 7 units. (Vertical Shift down 7)
k=-7
k=-7