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.

Question

Mathematics

Amir Solomon

12 March, 22:58

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.

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Leonidas · Answer 1

The margin of error associated with this confidence interval is 20

Step-by-step 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