The student will demonstrate the simple random, systematic, stratified, and clus
ID: 3260194 • Letter: T
Question
The student will demonstrate the simple random, systematic, stratified, and cluster sampling techniques.
The student will explain each of the details of each procedure used.
In this lab, you will be asked to pick several random samples. In each case, describe your procedure briefly, including how you might have used the random number generator, and then list the restaurants in the sample you obtained
The following section contains restaurants stratified by city into columns and grouped horizontally by entree cost (clusters).
A Stratified Sample
Pick a stratified sample, by entree cost, of 21 restaurants. Use 25% of the restaurants from each stratum. Round to the nearest whole number.
Describe the procedure:
Restaurants Stratified by City and Entree Cost
1. __________ 6. __________ 11. __________ 16. __________ 2. __________ 7. __________ 12. __________ 17. __________ 3. __________ 8. __________ 13. __________ 18. __________ 4. __________ 9. __________ 14. __________ 19. __________ 5. __________ 10. __________ 15. __________ 20. __________ 21. __________Explanation / Answer
Solution
Sampling Procedure
For each stratum (Entree Cost), serially number the restaurants as shown in the table below:
Entree Cost
Under $10
$10 to under $15
$15 to under $20
Over $20
San Jose
1.El Abuelo Taq,
2.Pasta Mia,
3.Emma's Express,
4Bamboo Hut
1..Emperor's Guard,
2.Creekside Inn
1.Agenda,
2.Gervais,
3.Miro's
1.Blake's,
2.Eulipia,
3.Hayes Mansion,
4.Germania
Palo Alto
5.Senor Taco,
6. Olive Garden,
7.Taxi's
3.Ming's,
4.P.A. Joe's,
5.Stickney's
4.Scott's Seafood,
5.Poolside Grill,
6.Fish Market
5.Sundance Mine,
6.Maddalena's,
7.Spago's
Los Gatos
8.Mary's Patio,
9. Mount Everest,
10.Sweet Pea's,
11.Andele Taqueria
6.Lindsey's,
7.Willow Street
7.Toll House
8.Charter House,
9. La Maison Du Cafe
Mountain View
12.Maharaja,
13. New Ma's,
14.Thai-Rific,
15.Garden Fresh
8.Amber Indian,
9.La Fiesta,
10.Fiesta del Mar,
11.Dawit
8.Austin's,
9.Shiva's,
10. Mazeh
10.Le Petit Bistro
Cupertino
16.Hobees,
17.Hung Fu,
18.Samrat,
19.Panda Express
12.Santa Barb.
13.Grill,
14.Mand. Gourmet,
15.Bombay Oven,
16.Kathmandu West
11.Fontana's,
12.Blue Pheasant
11.Hamasushi,
12. Helios
Sunnyvale
20.Chekijababi,
21.Taj India,
22.Full Throttle,
23.Tia Juana,
24.Lemon Grass
17.Pacific Fresh,
18.Charley Brown's,
19.Cafe Cameroon,
20.Faz,
21.Aruba's
13.Lion & Compass,
14.The Palace,
15.Beau Sejour
Santa Clara
25.Rangoli,
26.Armadillo Willy's,
27.Thai Pepper, 28.Pasand
22.Arthur's,
23.Katie's Cafe,
24.Pedro's,
25.La Galleria
16.Birk's,
17.Truya Sushi,
18.Valley Plaza
13.Lakeside,
14.Mariani's
From each stratum select at random a fourth (25%) of the restaurants, the procedure for which is described below:
Starting from a random point on the Random Number Table, pick 2-digit number. Using the rule given in the table below, decide which restaurant is to be taken as the sample.
Entrée Cost ($)
# of
Restaurants
# of samples
to be picked
Selection Rule
Under 10
28
7
Divide the random number by 28 and get the remainder and select the restaurant whose serial number in the table above corresponds to this remainder number.
10 to under 15
25
6
Divide the random number by 25 and get the remainder and select the restaurant whose serial number in the table above corresponds to this remainder number.
15 to under 20
18
5
Divide the random number by 18 and get the remainder and select the restaurant whose serial number in the table above corresponds to this remainder number.
Over 20
14
3
Divide the random number by 14 and get the remainder and select the restaurant whose serial number in the table above corresponds to this remainder number.
Total
85
21
-
Actual Process
The results are tabulated below:
[The excerpt from Random Number Table used for the process is given below the following table].
Stratum
Under 10
10 to under 15
15 to under 20
Over 20
Random
#
Serial
# of Rest
Random
#
Serial
# of Rest
Random
#
Serial
# of Rest
Random
#
Serial
# of Rest
73
17
38
13
90
18*2
92
8
73
*1
73
23
70
16
38
10
54
26
02
2
82
10
51
9
59
3
96
21
00
*1
63
7
58
8
25
7
78
22
83
*1
98
*1
13
13
03
3
85
13
46
18
Note: *1 => rejected *2 remainder zero => the last serial number.
RAND Corporation - RAND's A Million Random Digits with 100,000 Normal Deviates
Entree Cost
Under $10
$10 to under $15
$15 to under $20
Over $20
San Jose
1.El Abuelo Taq,
2.Pasta Mia,
3.Emma's Express,
4Bamboo Hut
1..Emperor's Guard,
2.Creekside Inn
1.Agenda,
2.Gervais,
3.Miro's
1.Blake's,
2.Eulipia,
3.Hayes Mansion,
4.Germania
Palo Alto
5.Senor Taco,
6. Olive Garden,
7.Taxi's
3.Ming's,
4.P.A. Joe's,
5.Stickney's
4.Scott's Seafood,
5.Poolside Grill,
6.Fish Market
5.Sundance Mine,
6.Maddalena's,
7.Spago's
Los Gatos
8.Mary's Patio,
9. Mount Everest,
10.Sweet Pea's,
11.Andele Taqueria
6.Lindsey's,
7.Willow Street
7.Toll House
8.Charter House,
9. La Maison Du Cafe
Mountain View
12.Maharaja,
13. New Ma's,
14.Thai-Rific,
15.Garden Fresh
8.Amber Indian,
9.La Fiesta,
10.Fiesta del Mar,
11.Dawit
8.Austin's,
9.Shiva's,
10. Mazeh
10.Le Petit Bistro
Cupertino
16.Hobees,
17.Hung Fu,
18.Samrat,
19.Panda Express
12.Santa Barb.
13.Grill,
14.Mand. Gourmet,
15.Bombay Oven,
16.Kathmandu West
11.Fontana's,
12.Blue Pheasant
11.Hamasushi,
12. Helios
Sunnyvale
20.Chekijababi,
21.Taj India,
22.Full Throttle,
23.Tia Juana,
24.Lemon Grass
17.Pacific Fresh,
18.Charley Brown's,
19.Cafe Cameroon,
20.Faz,
21.Aruba's
13.Lion & Compass,
14.The Palace,
15.Beau Sejour
Santa Clara
25.Rangoli,
26.Armadillo Willy's,
27.Thai Pepper, 28.Pasand
22.Arthur's,
23.Katie's Cafe,
24.Pedro's,
25.La Galleria
16.Birk's,
17.Truya Sushi,
18.Valley Plaza
13.Lakeside,
14.Mariani's
From each stratum select at random a fourth (25%) of the restaurants, the procedure for which is described below:
Starting from a random point on the Random Number Table, pick 2-digit number. Using the rule given in the table below, decide which restaurant is to be taken as the sample.
Entrée Cost ($)
# of
Restaurants
# of samples
to be picked
Selection Rule
Under 10
28
7
Divide the random number by 28 and get the remainder and select the restaurant whose serial number in the table above corresponds to this remainder number.
10 to under 15
25
6
Divide the random number by 25 and get the remainder and select the restaurant whose serial number in the table above corresponds to this remainder number.
15 to under 20
18
5
Divide the random number by 18 and get the remainder and select the restaurant whose serial number in the table above corresponds to this remainder number.
Over 20
14
3
Divide the random number by 14 and get the remainder and select the restaurant whose serial number in the table above corresponds to this remainder number.
Total
85
21
-
Actual Process
The results are tabulated below:
[The excerpt from Random Number Table used for the process is given below the following table].
Stratum
Under 10
10 to under 15
15 to under 20
Over 20
Random
#
Serial
# of Rest
Random
#
Serial
# of Rest
Random
#
Serial
# of Rest
Random
#
Serial
# of Rest
73
17
38
13
90
18*2
92
8
73
*1
73
23
70
16
38
10
54
26
02
2
82
10
51
9
59
3
96
21
00
*1
63
7
58
8
25
7
78
22
83
*1
98
*1
13
13
03
3
85
13
46
18
Note: *1 => rejected *2 remainder zero => the last serial number.
RAND Corporation - RAND's A Million Random Digits with 100,000 Normal Deviates
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