The average value over the interval is the area under the curve divided by the width of the interval.
Area = 4*(6 -1) +5(8 -6) = 30
Width = 8 - 1 = 7
Average value = 30/7 = 4 2/7
 
        
        
        
Answer:
what is there supposed to be a picture 
 
        
             
        
        
        
Answer:
a) n = 1037.
b) n = 1026.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of  , and a confidence level of
, and a confidence level of  , we have the following confidence interval of proportions.
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of 
The margin of error is:

99% confidence level
So  , z is the value of Z that has a pvalue of
, z is the value of Z that has a pvalue of  , so
, so  .
.
(a) Assume that nothing is known about the percentage to be estimated.
We need to find n when M = 0.04.
We dont know the percentage to be estimated, so we use  , which is when we are going to need the largest sample size.
, which is when we are going to need the largest sample size.






Rounding up
n = 1037.
(b) Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in four years or less.

So






Rounding up
n = 1026.
 
        
             
        
        
        


To find the value of  , we need to isolate it on one side of the equation. Add
, we need to isolate it on one side of the equation. Add  to both sides of the equation, then multiply both sides of the equation by
 to both sides of the equation, then multiply both sides of the equation by  .
.
