Suppose that Fairfax County has N=400,000 households. Further, assume that for we have a complete list of these households that contains information for each household that includes estimated household income, household zip code, household address, high school related to the address. We want to collect information from either a sample of n=2000 or conduct a census of all 400,000 by using one of the techniques described below: A = Simple Random Sampling B = Stratified Sampling C = Cluster Sampling D = Systematic Sampling E = Census F = Experimental Design For each scenario below, determine which of the above techniques most closely resembles the data collection strategy being considered. For each scenario you can just designate the technique by using the appropriate letter from above. No further work need to be shown. Using household income, we sort the list from lowest to highest household income and label these sorted households as 1 to 400,000 on our list. We generate a random number (call it k) between 1 and 200. That random number corresponds to our first selected household, and we then take every kth household after that as our sample of n=2,000 households. ANSWER IS: ___ Assume Fairfax County has 40 different zip codes. We group households by zip code and decide to randomly select 50 households without replacement from each of the 40 different zip codes. ANSWER IS: _ We decide to randomly generate without replacement 2,000 random numbers without replacement between 1 and 400,000. Households corresponding to these random numbers will be our sample of households. ANSWER IS: ___

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 6E

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Suppose that Fairfax County has N=400,000 households. Further, assume that for we have a complete list of these households that contains information for each household that includes estimated household income, household zip code, household address, high school related to the address.

We want to collect information from either a sample of n=2000 or conduct a census of all 400,000 by using one of the techniques described below:

A = Simple Random Sampling

B = Stratified Sampling

C = Cluster Sampling

D = Systematic Sampling

E = Census

F = Experimental Design

For each scenario below, determine which of the above techniques most closely resembles the data collection strategy being considered. For each scenario you can just designate the technique by using the appropriate letter from above. No further work need to be shown.

Using household income, we sort the list from lowest to highest household income and label these sorted households as 1 to 400,000 on our list. We generate a random number (call it k) between 1 and 200. That random number corresponds to our first selected household, and we then take every kth household after that as our sample of n=2,000 households.

ANSWER IS: _____

Assume Fairfax County has 40 different zip codes. We group households by zip code and decide to randomly select 50 households without replacement from each of the 40 different zip codes.

ANSWER IS: _____

We decide to randomly generate without replacement 2,000 random numbers without replacement between 1 and 400,000. Households corresponding to these random numbers will be our sample of households.

ANSWER IS: _____

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