Question

In: Statistics and Probability

Fremont High School has 2100 students. One of the statistics teachers at the school is interested...

Fremont High School has 2100 students. One of the statistics teachers at the school is interested in whether an intervention program based on self-management improves attendance. They randomly choose 80 students and randomly assign half of them to either an experimental condition (self- management class) or a control condition (distractor class on popular culture). At the end of the semester, they measure the number of days missed for each student. The teacher expects that the students in the self-management class will be absent for fewer days than the control group.

1) What is the population in this experiment?

2) What is the sample in this experiment?

3) What is the response variable in this experiment?

4) If the teacher calculates the average number of absences for the group of 80 students, then that average would be a______. A. Parameter B. Statistic

5) If the teacher calculates the average number of absences from all the 2100 students, then that average would be a_______. A. Parameter B. Statistic

6) The teacher records the number of absences for each student. This record is her______.

Number of absences is a______.

A. data; continuous B. data; discrete

7) Number of absences is a______.

A. Ratio B. Interval C. Nominal D. Ordinal

Solutions

Expert Solution

1) Population: All students of Fremont High school.

2) Sample : Randomly selected 80 students

3) Response variable : attendence

Note : Response variable is the dependent variable , the result of which is dependent on the independent variable which is intervention program

4) Answer is B) Statistic

Note : mean , standard deviation etc calculated based on sample are called statistic

5) Answer is A) Parameter

Note : mean, standard deviation etc based on population are called parameter.

6) Answer is B) data , discrete

Note : As the number of absences are numbers with discrete jump between values, thus data is discrete such as 0,1,2,etc

7) Answer is A) Ratio

As measurement in ratio scale enables us to do calculation based on the data ( addition , multiplication etc) , it has true zero ( that means zero means no value ) and negative values do not exists .


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