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Question 1 Practice similar questions Prev Score: 0 of 5 points Match the key terms with each context listed below. A company wants to estimate the mean time it will take workers to complete a certain task. They record the times to complete the task for a random sample of 30 workers. a. individual b. population c. sample d. statistic e. parameter f. variable \( \square \) a worker from this company \( \square \) time to complete a certain task \( \square \) 30 workers from this company \( \square \) all workers from this company \( \square \) mean time to complete a certain task for all workers from this company

Ask by Reeves Schultz. in the United States
Jan 15,2025

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Answer

- **a worker from this company**: individual - **Time to complete a certain task**: variable - **30 workers from this company**: sample - **All workers from this company**: population - **Mean time to complete a certain task for all workers from this company**: parameter

Solution

Sure, let's match each context with the appropriate key term: 1. **A worker from this company** - **a. individual** - **Explanation:** An individual refers to a single member of the population. 2. **Time to complete a certain task** - **f. variable** - **Explanation:** A variable is a measurable characteristic that can take on different values. 3. **30 workers from this company** - **c. sample** - **Explanation:** A sample is a subset of the population used to estimate characteristics of the whole. 4. **All workers from this company** - **b. population** - **Explanation:** The population includes all members of the group being studied. 5. **Mean time to complete a certain task for all workers from this company** - **e. parameter** - **Explanation:** A parameter is a numerical characteristic of the entire population. **Summary of Matches:** - **a worker from this company** → **a. individual** - **Time to complete a certain task** → **f. variable** - **30 workers from this company** → **c. sample** - **All workers from this company** → **b. population** - **Mean time to complete a certain task for all workers from this company** → **e. parameter**

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When matching key terms with their contexts, remember that "individual" refers to a single member of a defined group—in this case, a worker. The "population" would encompass all workers from the company, while the "sample" specifically points to the 30 workers selected for the task completion study. In this scenario, the "variable" is the time it takes to complete a certain task, which can vary from worker to worker. The "statistic" is the average time derived from the sample, while the "parameter" refers to the true mean time for all workers in the company, which is the elusive data point that the company is ultimately trying to estimate.

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