Question

Suppose we know that a confidence interval for a population mean is (53,67), with a margin of error of 7.

What is the sample mean, x¯?

Answer 1

The confidence interval for population mean is (53, 67)

Margin of error is 7

Here lower bound = 53 and

Upper bound = 67

Formula :   confidence interval = mean margin of error

Therefore lower bound = mean - margin of error

Therefore 53 = - 7

Therefore 53+7 =

Therefore = 60

Or

Upper bound = mean + margin of error

Therefore 67 = + 7

Therefore 67 - 7 =

Therefore = 60

Therefore the sample mean is 60.