# Question: Consider the set of all students enrolled in your statistics

Consider the set of all students enrolled in your statistics course this term. Suppose you’re interested in learning about the current grade point averages (GPAs) of this group.

a. Define the population and variable of interest.

b. Is the variable qualitative or quantitative?

c. Suppose you determine the GPA of every member of e class. Would this determination represent a census or a sample?

d. Suppose you determine the GPA of 10 members of the class. Would this determination represent a census or a sample?

e. If you determine the GPA of every member of the class and then calculate the average, how much reliability does your calculation have as an “estimate” of the class average GPA?

f. If you determine the GPA of 10 members of the class and then calculate the average, will the number you get necessarily be the same as the average GPA for the whole class? On what factors would you expect the reliability of the estimate to depend?

g. What must be true in order for the sample of 10 students you select from your class to be considered a random sample?

a. Define the population and variable of interest.

b. Is the variable qualitative or quantitative?

c. Suppose you determine the GPA of every member of e class. Would this determination represent a census or a sample?

d. Suppose you determine the GPA of 10 members of the class. Would this determination represent a census or a sample?

e. If you determine the GPA of every member of the class and then calculate the average, how much reliability does your calculation have as an “estimate” of the class average GPA?

f. If you determine the GPA of 10 members of the class and then calculate the average, will the number you get necessarily be the same as the average GPA for the whole class? On what factors would you expect the reliability of the estimate to depend?

g. What must be true in order for the sample of 10 students you select from your class to be considered a random sample?

**View Solution:**## Answer to relevant Questions

Biologists at the University of California (Riverside) are studying the patterns of extinction in the New Zealand bird population. (Evolutionary Ecology Research, July 2003.) At the time of the Maori colonization of New ...A recent survey conducted for the National Association of Broadcasters investigated satellite radio subscriber service and usage. The June 2007 survey, conducted by Wilson Research Strategies, consisted of a random sample of ...Explain the difference between a bar graph and a pie chart. In its annual General Social survey (GSS), the National Opinion Research Center (NORC) elicits the opinions of Americans on a wide variety of social topics. One question in the survey asked about a person’s belief in the ...Data from a psychology experiment were reported and analyzed in The American Statistician (May 2001). Two samples of female students participated in the experiment. One sample consisted of 11 students known to suffer from ...Post your question