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Chapter 7: Problem 13

Assume your class has 30 students and you want a random sample of 10 of them. Describe how to randomly select 10 people from your class using the random number table.

Short Answer

Expert verified
Assign a unique number between 1 to 30 to each student. Start selecting students based on the random number table. Continue process until we have selected 10 students. If a number above 30 or a repeat number comes, ignore it and move onto the next until 10 unique students are selected.

Step by step solution

01

Number the students

List all the 30 students. Give each of them a unique number between 1 and 30. It can be done on the register or the class list you have, as long as each student has a unique number assigned.
02

Initiate the random number table

Use a pre-constructed table of random numbers. These are readily available both online and in many statistical textbooks. Note that every sequence of two digits between 00 and 99 is equally likely to appear.
03

Determine the random numbers

Go through the table of random numbers, starting from the first row and column (unless specified otherwise). If a number between 01 and 30 appears, select the corresponding student.
04

Continue the process

Continue moving through the table until you have selected 10 unique students. Do not repeat any students, even if their number appears more than once. If a number appears that was already selected or is over 30, skip it and move to the next number.
05

Complete the selection

Stop as soon as 10 unique students have been selected. Those 10 students form your random sample.

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