2. Assuming a population characteristic has a standard deviation, o, of 38. Calculate the margin of error on the population mean given a sample of each of the sizes given below. Show how you calculate your answer.
(a) n = 30
(b) n =100
(c) n =1000
(d) Generally, as the sample size increases, what
happens to the margin of error? Why do you think
this occurs?

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).