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AssignmentMultiple Choice

Simple Random Sample

Question 1 • VA-Probability and Statistics

A school district has eight elementary schools, four middle schools, and two high schools. The district’s IT manager wishes to survey teachers regarding the use of technology in the classroom. Which of the following designs would create appropriate strata?

Answer
A
All the teachers at the district’s junior high buildings are asked to complete a survey on the topic.
B
Two teachers are chosen from only one grade level at random to complete a survey on the topic.
C
Four teachers from each school in the district are chosen at random to complete a survey on the topic.
D
All the high school teachers in the district are asked to complete a survey on the topic.

Explanation

Stratified sampling divides the population into relevant groups, then randomly samples from every group. In choice C, each school is a group, and four teachers are chosen at random from every school, representing all levels and campuses. Choices A and D survey only one school level, while B samples from only one grade level, so they leave out much of the district.

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