Chapter 4.1, Problem 11E

(a)

To determine

To explain how you would use a line of table D to choose an SRS of five students from the following list given.

Explanation of Solution

There are $40$ students.

First assign serial numbers $01\text{ to }40$ to the list of students.

For example,

  $01$ to Anderson,

  $02$ to Arroyo,

  $03$ to Batista

And so on…..

  $40$ tozhao.

Now select from random number table from the selected row ( $107$ ), take two digits at a time.

If the selected number is within $01\text{ to }40$ , select that students. If the number is outside of $01\text{ to }40$ , omit the number and select the next number. If the number already selected, omit and continue the selection. Continue the process till the required sample size achieved.

(b)

To determine

To show how you use each of the digits using line $107$ to select the sample.

Explanation of Solution

From row $107$ , the two digit numbers are,

  $82,73,95,78,90,20,80,74,75,11,81,67,65,53,00,94,38,31,48,93$

The first student selected is serial number $20$

The next student selected is serial number $11$

The next student selected is serial number $38$

The next student selected is serial number $31$

Only four are selected, we Continue with the next line $108$

  $60,94,07,20,24,17$

The next student selected is serial number $07$ .

The selected students are with serial numbers $07,11,20,31,38$:

Calloway, Drasin, Johnson, Rider, Washburn