Respuesta :
Answer:
Option D. statistical inference
Step-by-step explanation:
We are given the following situation in the question:
"A statistics professor asked students in a class their ages. On the basis of this information, the professor states that the average age of all the students in the university is 21 years."
This is a n example of statistical Inference.
- Statistical inference is the procedure of making inference or estimating parameters of a population with the help of test statistics.
- In the given situation the university students are the population and the students of a particular class are sample.
- The professor with the help of sample statistic (mean age of students in class) approximated the mean age of students in the university.
Making inference or generalization about a population, using information derived for a portion of the population called the sample is called a statistical inference.
- Statistical inference describes how statistics is used to make assumptions or decisions using a a representative sample of the population.
- Here, the professor used the ages of students in the class as a sample which represents the overall students population, and uses it to infer the average age of all students.
Hence, what the professor did is an example of a statistical inference.
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