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Question
Math
Posted 4 months ago
A factory overseer selects 40 threaded rods at random from those produced that week at the factory, then she tests their tensile strength.
Identify the population and sample in this setting.
Choose 1 answer:
(A) The population is all threaded rods ever produced at the factory; the sample is the threaded rods produced that week.
(B) The population is threaded rods produced at the factory that week; the sample is the 40 threaded rods selected.
(c) The population is all threaded rods in the world; the sample is all threaded rods produced at the factory.
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Answer from Sia
Posted 4 months ago
Solution by Steps
step 1
Identify the population and sample based on the given scenario
step 2
The population is the entire group that we want to understand or make inferences about
step 3
The sample is the subset of the population that is actually observed or tested
step 4
According to the scenario, the overseer selects 40 threaded rods from those produced that week at the factory
step 5
The population should be all threaded rods produced that week since the overseer is interested in the tensile strength of rods from that specific week
step 6
The sample is the 40 threaded rods selected randomly from the week's production for testing
1 Answer
Option B: The population is threaded rods produced at the factory that week; the sample is the 40 threaded rods selected.
Key Concept
Population vs. Sample
Explanation
In statistics, the population is the entire group of interest, while the sample is a subset of the population that is observed or collected to make inferences about the population. In this scenario, the population is the threaded rods produced that week, and the sample is the 40 rods selected for testing.
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