There are 48 people quarantined in a hotel waiting for a test because of the COVID-19. They need to be separated in a group of 6. Each of them are given a label no. for identification. In selecting the 6 people, the following two sampling methods can be adopted. Method I: Simple Random Sampling: 6 people are randomly selected with the use of Random Number Table. Method II: Systematic Sampling: starting from Label no. 03, then every kh student is selected.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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12.
There are 48 people quarantined in a hotel waiting for a test because of the COVID-19. They need
separated in a group of 6. Each of them are given a label no. for identification.
In selecting the 6 people, the following two sampling methods can be adopted.
Method I: Simple Random Sampling: 6 people
to be
are randomly selected with the use of Random Number Table.
Method II: Systematic Sampling: starting from Label no. 03, then every kh student is
selected.
Random Number Table
Column
12 3 4 5 7 89
10 11 12| 13 14 15
16 17 18 | 19 20
Row 17 2 19 2|3 4 1 2
4
7
9.
1
1
2 2 3 4 1
6 7 0 0 3
4
8.
3
4
3
3 5 1 2 4 92 7 6 4
5.
9.
1
7
1
6.
4 7 6 4 1 98 1 1 2
1
8.
1
3
If Method I is used, the random numbers are drawn by using the above random number
(a)
table with starting point row 1 column 8.
(i)
How many digits should be used?
(ii)
Write down the label no. of the selected students and their floor number
in the following table.
Label no.
(b) If Method II is used, starting from Label no.3, then every kh student is selected.
(i)
Determine the best value for k;
k =
(ii)
Write down the label no. of the selected students and their floor number
in the following table.
Label no.
03
8.
8.
2.
6
3.
Transcribed Image Text:12. There are 48 people quarantined in a hotel waiting for a test because of the COVID-19. They need separated in a group of 6. Each of them are given a label no. for identification. In selecting the 6 people, the following two sampling methods can be adopted. Method I: Simple Random Sampling: 6 people to be are randomly selected with the use of Random Number Table. Method II: Systematic Sampling: starting from Label no. 03, then every kh student is selected. Random Number Table Column 12 3 4 5 7 89 10 11 12| 13 14 15 16 17 18 | 19 20 Row 17 2 19 2|3 4 1 2 4 7 9. 1 1 2 2 3 4 1 6 7 0 0 3 4 8. 3 4 3 3 5 1 2 4 92 7 6 4 5. 9. 1 7 1 6. 4 7 6 4 1 98 1 1 2 1 8. 1 3 If Method I is used, the random numbers are drawn by using the above random number (a) table with starting point row 1 column 8. (i) How many digits should be used? (ii) Write down the label no. of the selected students and their floor number in the following table. Label no. (b) If Method II is used, starting from Label no.3, then every kh student is selected. (i) Determine the best value for k; k = (ii) Write down the label no. of the selected students and their floor number in the following table. Label no. 03 8. 8. 2. 6 3.
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