Q 8.55 - Elementary Statistics

Question

State True or False. Give Reasons for your answers..

The confidence interval can be obtained if you know only the margin of error.

Step-by-Step Solution

Answer

The given statement is False.

Step 1: Given Information

It is given that Margin of Error is known to us.

Step 2: Explanation

We know that

Confidence Interval $=$Point Estimate $\pm$ Margin of Error

$=\overline{x}\pm z_{\frac{a}{2}}\left(\frac{\sigma }{\sqrt{n}}\right)$

Confidence Interval is calculated only if we know both margin of error and sample mean.

The given statement is False.