Question

There are 723 seniors at a large high school.

(a) Explain how you would use a random number table to select a random sample of 30 seniors. Explain your method clearly! I should be able to hand you directions to Mr. Carter and he should be able to select the sample.

(b) Using the random digits below, select the first five seniors using your method from Part (a).

73190 32533 04470 29669 84407 90785 65956 86382

95857 07118 87664 92099 58806 66979 98624 84826

Answer 1

a)

Procedure for using a random number table to select a random sample of 30 seniors.

1. As we have a population of 723 students, we will assign each student a number from 1 to 723.
2. Since we have a population of 723 which is a three digit number, we will consider only first three digits of the numbers listed on the random number chart.
3. We randomly point to a select a number from the random number chart. Suppose, we will assume that we selected 73190 as the first number. we consider only first three digits, 731 is the number.
4. As we don’t have a student with that number(731), we select the next number 325 from (32533).
5. Now, since we have a student with 325 number, we choose the student with the number 325 and continue.
6. Continue upto 30 seniors are sllected

b)

Random number - 73190, student number - 731, Does not exist

Random number - 32533 , student number - 325, Student numbered 325 is selected in sample.

Random number - 04470 , student number - 044, Student numbered 044 is selected in sample.

Random number - 29699 , student number - 296, Student numbered 296 is selected in sample.

Random number - 84407, student number - 844, Does not exist

Random number - 90785, student number - 907, Does not exist

Random number - 65956 , student number - 659, Student numbered 659 is selected in sample.

Random number - 86382, student number - 863, Does not exist

Random number - 95857, student number - 958, Does not exist

Random number - 07118 , student number - 071, Student numbered 071 is selected in sample.

List of seniors selected are 325, 044, 296, 659 and 071