David A Miller owns a small advertising business He has nine

David A. Miller owns a small advertising business. He has nine employees. The names of the employees are given below:

1.Becker 4.Ito 7.Taylor 2.Brown 5.Kie f er 8.Walt 3.Chasten 6.Spitzer 9.Weiss

(a) Use the list of random digits below to select a simple random sample of three names from the list of employees. Start at the beginning of the list and use the numerical labels attached to the names.

11793; 20495; 05907; 11384; 44982; 20751; 27498; 12009; 45287; 71753

(b) Determine whether each of the following statements is true or false.

i. If we used another list of random digits to select the sample, we would get the same result as obtained with the list actually used.

ii. If we used another list of random digits to select the sample, we would get a completely different sample than that obtained with the list actually used.

iii. If we used another list of random digits to select the sample, we could get the same result as obtained with the list actually used.

iv. If we used another list of random digits to select the sample, the result obtained with the list actually used would be just as likely to be selected as any other set of three names.

Solution

a) The digits 4, 8, and 12th are selected from the random digits.

11793; 20495; 05907; 11384; 44982; 20751; 27498; 12009; 45287; 71753

Hence, employees Weiss, Ito, and Kiefer are selected in the simple random sample.

b). Bolded statements are true.

i. If we used another list of random digits to select the sample, we would get the same result as obtained with the list actually used.

ii. If we used another list of random digits to select the sample, we would get a completely different sample than that obtained with the list actually used.

iii. If we used another list of random digits to select the sample, we could get the same result as obtained with the list actually used.

iv. If we used another list of random digits to select the sample, the result obtained with the list actually used would be just as likely to be selected as any other set of three names.