Question

Given the following confidence interval for a population mean, compute the margin of error, E. 11.67<μ<12.61

Answer 1

Solution :

given that

Lower confidence interval = 11.67

Upper confidence interval = 12.61

$\bar x$  = (Lower confidence interval + Upper confidence interval ) / 2

$\bar x$ = ( 11.67+ 12.61) / 2

Sample mean = $\bar x$ =12.14

Margin of error = E = Upper confidence interval - $\bar x$

= 12.61 - 12.14

Margin of error = E  =0.47