Calculate the margin of error

eequals=z subscript alpha divided by 2 baseline times startfraction sigma over startroot n endroot endfractionz? /2•? n

if the necessary requirements are satisfied.

the confidence level is

9090? %,

the sample size is

nequals=9292? ,

and

sigma? equals=2020.

The margin of error is of 3.43.

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 .

So it is z with a pvalue of , so

Now, find the margin of error M as such

So

The margin of error is of 3.43.

(a) the volume of the cone is 20/3 in3

hence, option a is correct.