The 92 million Americans of age 50 and over control 50% of all discretionary income. AARP estimated that the average annual expenditure on restaurants and carryout food was $1,873 for individuals in this age group. Suppose this estimate is based on a sample of 80 persons and that the sample standard deviation is $550.
A. At 95% confidence, what is the margin of error?
B. What is the 95 % confidence interval for the population mean amount spent on restaurants and carryout food?
C. What is your estimate of the total amount spent by Americans of age 50 and over on restaurants and carryout food?
D. If the amount spent on restaurants and carryout food is skewed to the right, would you expect the median amount spent to be greater or less than $1,873?

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

the answer is 62.8 cubic units

need more info

step-by-step explanation: