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Chapter 4: Q. 37 (page 240)

Your statistics class has 30students. You want to ask an SRS of 5students 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

Expert verified

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

Step by step solution

01

Given information

We need to find the correct labeling of students in SRS

02

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 01and 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 5distinct pupils have been chosen.

Two-digit no.Selected student
14
Student14is selected
45
IGNORED
92
IGNORED
60
IGNORED
56
IGNORED
31
IGNORED
42
IGNORED
48
IGNORED
03
Student03is selected
71
IGNORED
65
IGNORED
10
Student10is selected
36
IGNORED
22
Student 22is selected
53
IGNORED
22
REPEATED, IGNORED
49
IGNORED
06
Student06 is selected

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

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