Sampling Methods Answers

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1
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Cheryl wants to find the number of hours seventh-graders do homework each week. There are 297 girls and boys in seventh grade. Which is the best way for Cheryl to get a representative sample without spending too much time?

A
She can survey 15 of her friends in the school.
B
She can survey every sixth-grade student in the school.
C
She can randomly survey 50 girls in the entire school.
D
She can randomly survey 50 seventh-graders in the school.
4

Which statement(s) describe her sampling method? Check all that apply.

A
Her method will produce a biased sample.
B
Her method will produce a valid sample.
C
Her method will produce a random sample.
D
Her method will produce a representative sample.
E
Her method will produce an invalid sample.
5

Which gives the best definition of a representative sample?

A
An entire population.
B
A sample that has the same general characteristics of the target population.
C
A sample that does not fairly represent a given population.
D
Any part of a population.
6

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10

Cheryl wants to find the number of hours seventh-graders do homework each week. There are 297 boys and girls in seventh grade. If Cheryl randomly surveyed 50 girls in the entire school to find the number of hours seventh-graders do homework each week, describe why she would get a biased sample.

Answer:

Surveying 50 girls would include other grades outside of seventh grade and would not include boys. This would not be a representative sample of the population and would lead to invalid results.

11

Which of the following did you include in your response? Select all that apply.

A
Randomly surveying 50 girls would most likely bring non-seventh-graders into the sample.
B
The sample also does not take any boys into account, and they most likely make up about half of the seventh-grade population.
C
The results would not be a representative sample of the population.

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