Populations and Sampling 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.
2
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Sample response: Get a list of all the music students in the eighth grade. Randomly select enough students to get a sample from the population. Ensure that the selection is completely random so the sample is not biased. Which did you include in your response? Select all that apply.Acquiring a list of all the names of eighth-grade music students (the population).Selecting some of the eighth-grade music students at random.Selecting enough students to get a good sample for the population, but not e

A
Acquiring a list of all the names of eighth-grade music students (the population).
B
Selecting some of the eighth-grade music students at random.
C
Selecting enough students to get a good sample for the population, but not every student.
D
Making sure the selection of students is completely random to get valid results and avoid a biased sample.
4

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:

Which of the following did you include in your response? Select all that apply. Randomly surveying 50 girls would most likely bring non-seventh-graders into the sample. The sample also does not take any boys into account, and they most likely make up about half of the seventh-grade population. The results would not be a representative sample of the population.

5

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.
6

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.
7

Write three to four sentences.

Answer:

To create a valid sample, first obtain a complete list of all eighth-grade music students to identify the entire population. Use a random number generator or a similar method to select a specific number of students from this list. This ensuring that every student has an equal chance of being chosen, which helps avoid bias and produces results that accurately represent the group.

8

Which of these statements are true about his sampling method? Select all that apply.

A
His sample will probably be biased.
B
His sample will definitely be valid.
C
His sample will probably be random.
D
His sample will probably be invalid.
E
His sample will be a good representation of the student population.
9

Alana’s method is✔ Ramiro’s method isBoth methods areNeither method is likely to result in a biased sample.

A
Alana’s method is
B
Ramiro’s method is
C
Both methods are
D
Neither method is

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