AnswersCR02201A Probability and StatisticsPopulations and Sampling

Populations and Sampling Answers

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1
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Lisa is performing a study regarding the average height of roses grown using an organic fertilizer. Her population consists of the roses at a commercial greenhouse. Which of the following would be a random sample she could measure?

A
100 flowers from the entire greenhouse.
B
The first 50 roses closest to the greenhouse door.
C
Every fifth rose in each row of roses.
D
100 red roses and 50 white roses.
2
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If the owner surveys the same number of employees at each of his restaurants, the sample is .

Question illustration
A
non-random and biased
B
non-random and unbiased
C
random and biased
D
random and unbiased
3

Maria wants to determine which student is favored for president of the student council. Which of the following samples are biased and not random? Select all that apply.

A
Surveying the boys in the freshman class.
B
Surveying every other student in the cafeteria.
C
Surveying all the students in her math class.
D
Surveying 20 students from each grade at random.
E
Surveying the students in the chess club.
4

Kareem wants to find the number of hours the average sixth-grader at his school practices an instrument each week. Which is the best way Kareem can get a representative sample?

A
He can randomly survey 50 boys in the school.
B
He can survey 30 students in the school band.
C
He can randomly survey 50 sixth-graders in the school.
D
He can survey 20 friends from his neighborhood.
5

If the owner surveys employees only at the most popular location and it’s likely all employees at each location were given the same safety information, the sample is .

Question illustration
A
non-random and biased
B
non-random and unbiased
C
random and biased
D
random and unbiased
6

To determine how a city’s residents feel about building a new youth center, a group considers surveying 50 random children at a local elementary school. Why would this result in a biased sample? Select three answers.

A
The sample ignores the adult portion of the city’s residents.
B
The students were randomly chosen.
C
Children are probably more likely to be in favor of a new youth center.
D
Some students may not have an opinion.
E
The sample does not include children in middle school or high school.
7

Would you consider these results to be valid?

A
Yes, because only high-school boys were surveyed.
B
Yes, because the results were obtained randomly by measuring the boys basketball team.
C
No, because boys on the basketball team are likely to be taller than the average high school boy.
D
No, because there are no girls surveyed.

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