Question
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Anna wants to estimate the mean number of siblings for each student in her school.
She records the number of siblings for each of 75 randomly selected students in the
school. What is the statistic?
the mean number of siblings for the randomly selected students
Anna
the specific number of siblings for each randomly selected student
the mean number of siblings for all students in the school
all the students in the school

Ask by Norris Davey. in the United States
Mar 14,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The statistic is the mean number of siblings for the randomly selected students.

Solution

To determine the statistic in Anna’s study, let’s analyze the options provided:
  1. The mean number of siblings for the randomly selected students: This is a statistic because it is a numerical value calculated from the sample of 75 students that Anna selected.
  2. The specific number of siblings for each randomly selected student: This refers to individual data points from the sample, not a summary statistic.
  3. The mean number of siblings for all students in the school: This is a parameter, not a statistic, as it refers to the entire population of students in the school.
  4. All the students in the school: This refers to the population, not a statistic.
Based on this analysis, the correct answer is:
The mean number of siblings for the randomly selected students.
This is the statistic that Anna is estimating from her sample.

Answered by UpStudy AI and reviewed by a Professional Tutor

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Mind Expander

The mean number of siblings for the randomly selected students is indeed the statistic Anna is looking for! It’s like getting a snapshot of this small group, which can help her make educated guesses about the larger school population.
If Anna decides to repeat her study with a different group of 75 students, she might get a different average. That’s the beauty of statistics: it allows for variation, which means that the results can change, providing a fun way to explore the diversity in sibling counts among students!

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