Question

An article in an educational journal discussing a non-conventional high school reading program reports a 95% confidence interval of (520 , 560) for the average score on the reading portion of the SAT. The study was based on a random sample of 20 students and it was assumed that SAT scores would be approximately normally distributed. Determine the margin of error associated with this confidence interval.

Answer 1

The margin of error associated with this confidence interval is 20

Explanation:

A confidence interval has two bounds, a lower bound and an upper bound. The interval is symmetric, which means that the margin of error is the difference between these two bounds(upper - lower), divided by 2.

In this problem, we have that:

Lower bound: 520

Upper bound: 560

Determine the margin of error associated with this confidence interval.

(560 - 520)/2 = 20

The margin of error associated with this confidence interval is 20