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1.6 Sampling experiment

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Sampling experiment

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    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

The following section contains restaurants stratified by city into columns and grouped horizontally by entree cost (clusters).

Restaurants stratified by city and entree cost

Restaurants used in sample
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.

  1. Describe your procedure.
  2. 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.

  1. Describe your procedure.
  2. 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.

  1. Describe your procedure.
  2. 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.

  1. Describe your procedure.
  2. 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.

  1. Describe your procedure.
  2. 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. ________

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Source:  OpenStax, Introductory statistics. OpenStax CNX. May 06, 2016 Download for free at http://legacy.cnx.org/content/col11562/1.18
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