Chapter 13.1, Problem 26E

To determine

The statement is true or false.

Answer to Problem 26E

False.

Explanation of Solution

Given information:

The ranges of data from two random samples from the same population must be equal.

Calculation:

The given statement is true or not, let’s take an example which clear the statement as shown below:

Since will using the random sample, taking $5$ random students’ scores from $100$ students into two sets can be:

  $\begin{array}{l}70,72,80,81,82\to \text{Range=12}\\ \text{80,80,81,85,87 }\to \text{Range=7}\end{array}$

Thus, the statement is False.