Question

margin of error - general
score: 9/10 penalty: 1 off
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 461 and 503. what is the margin of error on the survey? do not write ± on the margin of error.
answer attempt 1 out of 2

Explanation:

Step1: Recall margin - of - error formula

The margin of error $E$ for a confidence interval is given by $E=\frac{\text{Upper limit}-\text{Lower limit}}{2}$.

Step2: Identify upper and lower limits

The lower limit of the confidence interval is $461$ and the upper limit is $503$.

Step3: Calculate margin of error

$E=\frac{503 - 461}{2}=\frac{42}{2}=21$.

Answer:

$21$