Question

Suppose we know that a confidence interval is (71,95), with a sample mean of x¯=83.

What is the margin of error?



Give just a number for your answer. For example, if you found that the margin of error was 2, you would enter 2.

Provide your answer below:

Answer 1

12

Explanation:

Recall :

Confidence interval = xbar ± margin of error

Xbar = 83

Confidence interval = (71, 95)

We could use either the lower or upper boundary to obtain an integer for the margin of error :

Using the upper boundary :

Upper boundary = Xbar + margin of error

95 = 83 + margin of error

Margin of Error = 95 - 83

Margin of Error = 12