Skip to main content
Statistics LibreTexts

1.6: Sampling Experiment (Worksheet)

[ "article:topic", "OpenStax", "authorname:openstax" ]
  • Page ID
    709
  • 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

    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. ________