You contact the school administration and receive the following information to determine any and all of the amount of each "type" of student you intend to sel M:F Ratio = 44:56 # Grade 9's # Grade 10's 271 328 Average age: 15.7 yrs Median Age: 15.5 yrs You can estimate any other demographi

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
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Chapter12: Angle Relationships And Transformations
Section: Chapter Questions
Problem 3CP
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b) Let's say you now want to use this survey (as is) to sample High School students in Ontario.
You perform a Multi-stage sample and wind up choosing Loyola as a site for sampling.
You contact the school administration and receive the following information to help you
determine any and all of the amount of each "type" of student you intend to select:
i.
ii.
M:F Ratio = 44:56
iii.
# Grade 9's
# Grade 10's
#Grade 11's
# Grade 12's
PIP students
271
328
220
138
18
Note: You will have access to any and all information and equipment necessary to do this sampling
(provided it can be found at the school). Funding for supplies and a staff of two volunteers will be
provided for you.
Average age: 15.7 yrs
Median Age: 15.5 yrs
You can estimate any other demographic you
like and use this in your sampling technique
Devise a sampling strategy that combines both systematic and stratified sampling
techniques. Explain this strategy in detail.
Devise a sampling strategy that is both random and systematic. Explain your strategy in
detail
Grade
A colleague of yours tells you that they would not use any of the above strategies.
Instead they suggest the following:
1. Stratify the population as follows:
9
10
11
12
PIP
Total # of classes
11
14
8
6
2
Classes Sampled
5
5
5
5
2. Randomly choose the required number of classes by drawing their teacher's
names 'out of a hat'.
3. Sample the entire class.
4. Have the teachers sort the survey's alphabetically.
5. Choose every other survey and those remaining surveys become your sample.
Explain two problems that exist with this strategy and then describe how you could use
their framework to effectively perform a random, stratified, and systematic sample.
Transcribed Image Text:b) Let's say you now want to use this survey (as is) to sample High School students in Ontario. You perform a Multi-stage sample and wind up choosing Loyola as a site for sampling. You contact the school administration and receive the following information to help you determine any and all of the amount of each "type" of student you intend to select: i. ii. M:F Ratio = 44:56 iii. # Grade 9's # Grade 10's #Grade 11's # Grade 12's PIP students 271 328 220 138 18 Note: You will have access to any and all information and equipment necessary to do this sampling (provided it can be found at the school). Funding for supplies and a staff of two volunteers will be provided for you. Average age: 15.7 yrs Median Age: 15.5 yrs You can estimate any other demographic you like and use this in your sampling technique Devise a sampling strategy that combines both systematic and stratified sampling techniques. Explain this strategy in detail. Devise a sampling strategy that is both random and systematic. Explain your strategy in detail Grade A colleague of yours tells you that they would not use any of the above strategies. Instead they suggest the following: 1. Stratify the population as follows: 9 10 11 12 PIP Total # of classes 11 14 8 6 2 Classes Sampled 5 5 5 5 2. Randomly choose the required number of classes by drawing their teacher's names 'out of a hat'. 3. Sample the entire class. 4. Have the teachers sort the survey's alphabetically. 5. Choose every other survey and those remaining surveys become your sample. Explain two problems that exist with this strategy and then describe how you could use their framework to effectively perform a random, stratified, and systematic sample.
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