Q. 6 - The Practice of Statistics for AP

Question

You want to take an SRS $50$ of the $816$ students who live in a dormitory on a college campus. You label the students $001$ to $816$ in alphabetical order. In the table of random digits, you read the entries

$95592$  $94007$  $69769$  $33547$  $72450$  $16632$  $81194$  $14873$ 

The first three students in your sample have labels 

(a) $955,929,400$ 

(b) $400,769,769$ 

(c) $559,294,007$

(d) $929,400,769$

(e) $400,769,335$

Step-by-Step Solution

Answer

The first three students in your sample have labels is option (e) $400,769,335$

Step 1: Given information

SRS $50$of $816$students was labelled as $001 to 816$

the table of random digits$\begin{array}{llllllll}95592& 94007& 69769& 33547& 72450& 16632& 81194& 14873\end{array}$

Find the first three digits in your sample.

Step 2: Explanation

Identify the random digits of yours

The random digits are 

$\begin{array}{llllllll}95592& 94007& 69769& 33547& 72450& 16632& 81194& 14873\end{array}$

Because our largest number is three digits $\left(816\right)$, we'll divide the random numbers into three digits apiece. This can be accomplished by omitting the spaces

$955 929 400 769 769 335 477 245 016 632 811 941 487....$

Identify the labels from $001,002,....816$

$955$ and $929$ are not within $001,002...$$816 400, 769$are in there,

so those are our first $2 769$ is already included, cannot include a second time.

3rd number is then $335$

The three numbers are $400,769,335$ which is option (e).