# 1.13 Lab 2: sampling experiment

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This module provides students an opportunity to practice data sampling techniques. Students will demonstrate the simple random, systematic, stratified, and cluster sampling techniques, and explain the details of each procedure. This lab is based on one originally created by Carol Olmstead.

Class Time:

Names:

## Student learning outcomes

• 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 simple random sample

Pick a simple random sample of 15 restaurants.

1. Describe the procedure:
2.  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 the procedure:
2.  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 the procedure:
2.  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 the procedure:
2.  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 the procedure:
2.  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. __________

## 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
The original lab was designed and contributed by Carol Olmstead.

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1 It is estimated that 30% of all drivers have some kind of medical aid in South Africa. What is the probability that in a sample of 10 drivers: 3.1.1 Exactly 4 will have a medical aid. (8) 3.1.2 At least 2 will have a medical aid. (8) 3.1.3 More than 9 will have a medical aid.