A survey of college students asked them to report their height, age, favorite color, living situation (on or off campus), whether they smoked or not, how many cigarettes were smoked the previous day for those who identified themselves as smokers, and if they'd eaten breakfast that day.
a. Identify all the categorical variables in this data set.
b. Which of these categorical variables has more than two possible values?
c. Use the fact that there are 20 cigarettes in a pack to describe a way to treat the number of cigarettes smoked as a categorical variable with two possible values.
d. Taking the survey respondents to be a sample from a larger population of students, if we report percentages of surveyed students in the various category responses, would these be statistics (summarizing a sample) or parameters (summarizing a population)?
e. In a face-to-face interview with a health center nurse, if 15% of the students claim to be smokers, can we conclude that about 15% of the larger population of students smoke?