Question

A study by the department of education of a certain state was trying to determine the

mean SAT scores of the graduating high school seniors. The study found a confidence
interval for the mean score to be between 440 and 472. What is the margin of error
on the survey? Do not write on the margin of error.

Answer 1

Margin of error = 16

Step-by-step explanation:

The confidence interval spans from 440 to 472. This is a width of 472-440 = 32 units. It divides in half to get 32/2 = 16. We can think of this as the "radius" of the confidence interval, and it represents the margin of error. It's the distance from the center to either endpoint of the interval.

Side note: use the midpoint formula to determine the center.