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X1.3.9 Question Help A community college employs 89 full-time faculty members. T

ID: 3351884 • Letter: X

Question

X1.3.9 Question Help A community college employs 89 full-time faculty members. To gain the faculty's opinions about an upcoming building project, the college president wishes to obtain a simple random sample that will consist of 9 faculty members. He numbers the faculty from 1 to 89. Complete parts (a) and (b) below Click the icon to view the random number table. (a) Using the provided random number table, the president closes his eyes and drops his ink pen on the table. It points to the digit in row 3, column 6. Using this position as the starting point and proceeding downward, determine the numbers for the 9 faculty members who will be included in the sample. The numbers for the faculty members are (Use a comma to separate answers as needed.) Random Numbers Random Numbers Row 01-05 06-10 16-20 88291 12426 64265 01425 33966 64870 35362 61548 11748 94857 44803 25574 56977 79 1 29 39829 01669 2254125928 85444 47138 07973 97213 39020 19593 nter your answer in the answer box and then cl Print Done part

Explanation / Answer

Selection Process:

Keep picking 2-digit numbers as directed in the question, discarding 00, all numbers greater than 89 and repetitions. Continue the process till 9 numbers are obtained. The numbers so obtained represent the serial numbers of the faculty members who will form the simple random sample of 9 faculty members the president wants.

The actual sampling results are presented in the table below:

Serial No.

Random Number

Serial No of Faculty Member

1

94

Discarded

2

79

79

3

25

25

4

97

Discarded

5

42

42

6

87

87

7

85

85

8

12

12

9

92

Discarded

10

21

21

11

66

66

12

03

03

Thus, the random sample consists of faculty members with serial numbers:

3, 12, 21, 25, 42, 66,79, 85, 87 ANSWER

Serial No.

Random Number

Serial No of Faculty Member

1

94

Discarded

2

79

79

3

25

25

4

97

Discarded

5

42

42

6

87

87

7

85

85

8

12

12

9

92

Discarded

10

21

21

11

66

66

12

03

03