Asked by Megan Musialek on Jun 29, 2024

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A Statistics instructor wishes to know the average age (in month) of his 200 students.He decides to choose 25 students from the class and ask them for their age.All 200 names are put in a hat and 25 names are then chosen at random (without replacement) .The average age of the students chosen is observed to be 231 months.The average age of all 200 students is known as what?

A) The population size
B) The sample statistic
C) The population statistic
D) The population parameter
E) The sample parameter

Population Parameter

Numeric values that summarize the characteristics of an entire population, such as mean or variance.

Average Age

The arithmetic mean of the ages of a group of individuals or items, calculated by adding all ages together and dividing by the number of individuals or items.

Sample Statistic

A sample statistic is a numerical measure that describes a characteristic of a sample, such as the mean or standard deviation, derived from data collected from a subset of a population.

  • Comprehend the significance of the population parameter of interest and the methods through which it can be estimated using sample data.
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shahid shareefJun 29, 2024
Final Answer :
D
Explanation :
The average age of all 200 students is the parameter of the population, and since the instructor is trying to estimate the population parameter using a sample of 25 students, the observed average age of 231 months is a sample statistic. Therefore, the correct choice is D - The population parameter.