1.7: Sampling Experiment (Worksheet)
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Name: ______________________________
Section: _____________________________
Student ID#:__________________________
Work in groups on these problems. You should try to answer the questions without referring to your textbook. If you get stuck, try asking another group for help.
Student Learning Outcomes
- The student will demonstrate the simple random, systematic, stratified, and cluster sampling techniques.
- The student will explain the details of each procedure used.
In this lab, you will be asked to pick several random samples of restaurants. 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.
Note 1.7.1
The following section contains restaurants stratified by city into columns and grouped horizontally by entree cost (clusters).
Restaurants Stratified by City and Entree Cost
| Entree Cost | Under $10 | $10 to under $15 | $15 to under $20 | Over $20 |
|---|---|---|---|---|
| San Jose | El Abuelo Taq, Pasta Mia, Emma’s Express, Bamboo Hut | Emperor’s Guard, Creekside Inn | Agenda, Gervais, Miro’s | Blake’s, Eulipia, Hayes Mansion, Germania |
| Palo Alto | Senor Taco, Olive Garden, Taxi’s | Ming’s, P.A. Joe’s, Stickney’s | Scott’s Seafood, Poolside Grill, Fish Market | Sundance Mine, Maddalena’s, Spago’s |
| Los Gatos | Mary’s Patio, Mount Everest, Sweet Pea’s, Andele Taqueria | Lindsey’s, Willow Street | Toll House | Charter House, La Maison Du Cafe |
| Mountain View | Maharaja, New Ma’s, Thai-Rific, Garden Fresh | Amber Indian, La Fiesta, Fiesta del Mar, Dawit | Austin’s, Shiva’s, Mazeh | Le Petit Bistro |
| Cupertino | Hobees, Hung Fu, Samrat, Panda Express | Santa Barb. Grill, Mand. Gourmet, Bombay Oven, Kathmandu West | Fontana’s, Blue Pheasant | Hamasushi, Helios |
| Sunnyvale | Chekijababi, Taj India, Full Throttle, Tia Juana, Lemon Grass | Pacific Fresh, Charley Brown’s, Cafe Cameroon, Faz, Aruba’s | Lion & Compass, The Palace, Beau Sejour | |
| Santa Clara | Rangoli, Armadillo Willy’s, Thai Pepper, Pasand | Arthur’s, Katie’s Cafe, Pedro’s, La Galleria | Birk’s, Truya Sushi, Valley Plaza | Lakeside, Mariani’s |
A Simple Random Sample
Pick a simple random sample of 15 restaurants.
- Describe your procedure.
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Complete the table with your sample.
1. __________ 6. __________ 11. __________ 2. __________ 7. __________ 12. __________ 3. __________ 8. __________ 13. __________ 4. __________ 9. __________ 14. __________ 5. __________ 10. __________ 15. __________
A Systematic Sample
Pick a systematic sample of 15 restaurants.
- Describe your procedure.
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Complete the table with your sample.
1. __________ 6. __________ 11. __________ 2. __________ 7. __________ 12. __________ 3. __________ 8. __________ 13. __________ 4. __________ 9. __________ 14. __________ 5. __________ 10. __________ 15. __________
A Stratified Sample
Pick a stratified sample , by city, of 20 restaurants. Use 25% of the restaurants from each stratum. Round to the nearest whole number.
- Describe your procedure.
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Complete the table with your sample.
1. __________ 6. __________ 11. __________ 16. __________ 2. __________ 7. __________ 12. __________ 17. __________ 3. __________ 8. __________ 13. __________ 18. __________ 4. __________ 9. __________ 14. __________ 19. __________ 5. __________ 10. __________ 15. __________ 20. __________
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 your procedure.
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Complete the table with your sample.
1. __________ 6. __________ 11. __________ 16. __________ 2. __________ 7. __________ 12. __________ 17. __________ 3. __________ 8. __________ 13. __________ 18. __________ 4. __________ 9. __________ 14. __________ 19. __________ 5. __________ 10. __________ 15. __________ 20. __________ 21. __________
A Cluster Sample
Pick a cluster sample of restaurants from two cities. The number of restaurants will vary.
- Describe your procedure.
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Complete the table with your sample.
1. ________ 6. ________ 11. ________ 16. ________ 21. ________ 2. ________ 7. ________ 12. ________ 17. ________ 22. ________ 3. ________ 8. ________ 13. ________ 18. ________ 23. ________ 4. ________ 9. ________ 14. ________ 19. ________ 24. ________ 5. ________ 10. ________ 15. ________ 20. ________ 25. ________