Question

select the most appropriate response.
an article in an educational journal discussing a non - conventional high school reading program reports, with 95% confidence, the average score on the reading portion of the sat is between 520 and 560. 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 average sat reading score of the 20 students sampled.
520
560
530
540
550

Explanation:

Step1: Recall the formula for confidence interval mid - point

The formula for the mid - point of a confidence interval is $\frac{\text{lower limit}+\text{upper limit}}{2}$.

Step2: Substitute the values

Here, the lower limit is $520$ and the upper limit is $560$. So, $\frac{520 + 560}{2}=\frac{1080}{2}$.

Step3: Calculate the result

$\frac{1080}{2}=540$.

Answer:

540