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 an example of a:

A. census
B. descriptive statistics
C. an experiment
D. statistical inference

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.
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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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