An AP Statistics class starts a project to estimate the average number of hours a student at their high school sleeps per night. Their high school has 1200 students, and they take a sample of the first 120 students that arrive at school on a particular day. They ask oach of the 120 students how many hours of sleep they got the night before and then calculate an average.

Which of the following statements is an accurate description of the elements of this survey?

(A) Population: the 120 students surveyed. Parameter of interest: the average number of hours a student at this high school sleeps per night.

(B) Sample: the 1200 students of the school. Population: all high school students in the United States. Statistic: the average number of hours a student at this high school sleeps per night

(C) Sample: the 120 students surveyed. Population: the 1200 students at the high school. Parameter of interest: the average number of hours a student at this high school sleeps per night.

(D) Sample: the 120 students surveyed. Population: the 1200 students at the high school. Statistic: The average number of hours a student at this high school sleeps per night.

(E) This is not a survey because a convenience sample was used.

Respuesta :

Answer:

C) Sample: the 120 students surveyed. Population: the 1200 students at the high school. Parameter of interest: the average number of hours a student at this high school sleeps per night.

Step-by-step explanation:

  • Population is the total units of study for the research.
  • Sample is the selected units, chosen for conducting the research study.
  • Parameter of interest is the  characteristic or variable, that is studied related to the population or sample

Research of average hours of sleep in a school; on the basis of 120 students selected for the study; are :-

  • Population is the total number of students in the school, i.e = 1200 students
  • Sample is the selected number of students, chosen (enquired) for the study, i.e = 120 students
  • The parameter of interest is the variable of students, that needs to be studied, i.e average sleep hours.

Statistics is the science of presentation and analysis of data.

In order to answer the question, we must define the following;

  • Population: This is the whole group of students (1200) in the class
  • Sample: This is the small fraction of the total number of students that participated in the study (120).
  • Statistic: This are numbers that summarize the values obtained in a study.
  • Parameter of interest: This is the actual factor that was studied, in this case, the average number of hours a student at this high school sleeps per night.

Hence, we can conclude that option C is correct;

Sample: the 120 students surveyed. Population: the 1200 students at the high school. Parameter of interest: the average number of hours a student at this high school sleeps per night.

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