If a confidence interval for the mean is 24.8 < ì < 29.6. What is the margin of error?
To find the margin of error for a confidence interval, we need to consider the formula for the confidence interval:
mean - margin of error < μ < mean + margin of error
In this case, we can see that the mean is given as μ = (24.8 + 29.6) / 2 = 27.2.
So, we can rewrite the confidence interval as:
27.2 - margin of error < μ < 27.2 + margin of error
Since the confidence interval is symmetric about the mean, we can calculate the margin of error by finding the difference between the mean and either of the confidence interval bounds.
Therefore, the margin of error is:
27.2 - 24.8 = 2.4.
Hence, the margin of error for the given confidence interval is 2.4.