Question

Your statistics class has $30$students. You want to ask an SRS of $5$students from your class whether they use a mobile device for the online quizzes. You label the students $01,02,...,30$. You enter the table of random digits at this line: $1445926056314248037165103622532249061181$

Your SRS contains the students labeled

a. $14,45,92,60,56$

b. $14,31,03,10,22$

c. $14,03,10,22,22$

d.$14,03,10,22,06$

e.$14,03,10,22,11$

Short answer

SRS contains students labeled with $14,03,10,22,06$i.e. option (d) is correct.

Step-by-step solution

Given information

We need to find the correct labeling of students in SRS

Explanation

The pupils are labeled $01,02,...,30$, and we want to pick five students at random.

$1445926056314248037165103622532249061181$

In the given line, choose the first two-digit number. If the number is between $01$and $30$(inclusive), the appropriate student will be chosen; otherwise, the two-digit number will be ignored and the next two-digit number will be chosen.

Repeat until $5$distinct pupils have been chosen.

Two-digit no.	Selected student
$14$	Student$14$is selected
$45$	IGNORED
$92$	IGNORED
$60$	IGNORED
$56$	IGNORED
$31$	IGNORED
$42$	IGNORED
$48$	IGNORED
$03$	Student$03$is selected

$71$	IGNORED
$65$	IGNORED
$10$	Student$10$is selected
$36$	IGNORED
$22$	Student $22$is selected
$53$	IGNORED
$22$	REPEATED, IGNORED
$49$	IGNORED

$06$	Student$06$ is selected

Therefore, SRS contains students labeled with $14,03,10,22,06$i.e. option (d) is correct.