Three students want to estimate the mean word length of the same book. To do this, each student randomly chose 4 words from the book and recorded their lengths. The samples are …

Question

asked Apr 6, 2023 69.2k views

1 Answer

Sense · Answer 1 · 2023-04-13T04:10:43+0000

Solution:

Given:

Mean of sample 1:

$\begin{gathered} mean=(8+5+4+8)/(4) \\ =(25)/(4) \\ =6.25 \end{gathered}$

Mean of sample 2:

$\begin{gathered} mean=(8+6+3+9)/(4) \\ =(26)/(4) \\ =6.5 \end{gathered}$

Mean of sample 3:

$\begin{gathered} mean=(6+8+6+7)/(4) \\ =(27)/(4) \\ =6.75 \end{gathered}$

From the sample means, the range is;

$\begin{gathered} Range=highest-lowest \\ Range=6.75-6.25 \\ Range=0.5 \end{gathered}$

Therefore, the range of sample means is 0.5