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Classify each of the following variables as either categorical or numerical. For those that are numerical, determine whether they are discrete or continuous. a. Number of students in a class of 35 who turn in a term paper before the due date b. Gender of the next baby born at a particular hospital c. Amount of fluid (in ounces) dispensed by a machine used to fill bottles with soda pop d. Thickness (in \(\mathrm{mm}\) ) of the gelatin coating of a vitamin \(\mathrm{E}\) capsule e. Birth order classification (only child, firstborn, middle child, lastborn) of a math major

For the following numerical variables, state whether each is discrete or continuous. a. The number of insufficient-funds checks received by a grocery store during a given month b. The amount by which a 1 -pound package of ground beef decreases in weight (because of moisture loss) before purchase c. The number of kernels in a bag of microwave popcorn that fail to pop d. The number of students in a class of 35 who have purchased a used copy of the textbook

For each of the five data sets described, answer the following three questions and then use Figure 2.2 to select an appropriate graphical display. Question 1: How many variables are in the data set? Question 2: Are the variables in the data set categorical or numerical? Question 3: Would the purpose of a graphical display be to summarize the data distribution, to compare groups, or to investigate the relationship between two numerical variables? Data Set 1: To learn about the reason parents believe their child is heavier than the recommended weight for children of the same age, each person in a sample of parents of overweight children was asked what they thought was the most important contributing factor. Possible responses were lack of exercise, easy access to junk food, unhealthy diet, medical condition, and other. Data Set 2: To compare commute distances for full-time and part-time students at a large college, commute distance (in miles) was determined for each student in a random sample of 50 full-time students and for each student in a random sample of 50 part-time students. Data Set 3: To learn about how number of years of education and income are related, each person in a random sample of 500 residents of a particular city was asked how many years of education he or she had completed and what his or her annual income was. Data Set 4: To see if there is a difference between faculty and students at a particular college with respect to how they commute to campus (drive, walk, bike, and so on), each person in a random sample of 50 faculty members and each person in a random sample of 100 students was asked how he or she usually commutes to campus. Data Set 5: To learn about how much money students at a particular college spend on textbooks, each student in a random sample of 200 students was asked how much he or she spent on textbooks for the current semester.

Classify each of the following variables as either categorical or numerical. For those that are numerical, determine whether they are discrete or continuous. a. Brand of computer purchased by a customer b. State of birth for someone born in the United States c. Price of a textbook d. Concentration of a contaminant (micrograms per cubic centimeter) in a water sample e. Zip code (Think carefully about this one.) f. Actual weight of coffee in a can labeled as containing 1 pound of coffee

For the following numerical variables, state whether each is discrete or continuous. a. The length of a 1-year-old rattlesnake b. The altitude of a location in California selected randomly by throwing a dart at a map of the state c. The distance from the left edge at which a 12 -inch plastic ruler snaps when bent far enough to break d. The price per gallon paid by the next customer to buy gas at a particular station

Classify each of the following variables as either categorical or numerical. a. Weight (in ounces) of a bag of potato chips b. Number of items purchased by a grocery store customer c. Brand of cola purchased by a convenience store customer d. Amount of gas (in gallons) purchased by a gas station customer e. Type of gas (regular, premium, diesel) purchased by a gas station customer

Classify each of the following variables as either categorical or numerical. a. Color of an M\&M candy selected at random from a bag of M\&M's b. Number of green M\&M's in a bag of M\&M's c. Weight (in grams) of a bag of M\&M's d. Gender of the next person to purchase a bag of M\&M's at a particular grocery store

Classify each of the following variables as either categorical or numerical. a. Number of text messages sent by a college student in a typical day b. Amount of time a high school senior spends playing computer or video games in a typical day c. Number of people living in a house d. A student's type of residence (dorm, apartment, house) e. Dominant color on the cover of a book f. Number of pages in a book g. Rating \((\mathrm{G}, \mathrm{PG}, \mathrm{PG}-13, \mathrm{R})\) of a movie

An article in the San Luis Obispo New Times (February 4,2016 ) reported the accompanying concussion $$\begin{array}{|lc|}\hline \text { Sport } & \begin{array}{c}\text { Concussion Rate (Concussions } \\ \text { per } 10,000 \text { athletes) }\end{array} \\\\\hline \text { Football } & 11.2 \\\\\text { Lacrosse (Boys) } & 6.9 \\\\\text { Lacrosse (Girls) } & 5.2 \\\\\text { Wrestling } & 6.2 \\\\\text { Basketball (Girls) } & 5.6 \\\\\text { Basketball (Boys) } & 2.8 \\\\\text { Soccer (Girls) } & 6.7 \\\\\text { Soccer (Boys) } & 4.2 \\\\\text { Field Hockey } & 4.2 \\\\\text { Volleyball } & 2.4 \\\\\text { Softball } & 1.6 \\\\\text { Baseball } & 1.2 \\\\\hline\end{array}$$ a. Construct a dotplot for the concussion rate data. b. In addition to the three girls' sports indicated in the table (lacrosse, basketball, and soccer), the article also reported concussion rates for field hockey, volleyball, and softball, which are girls' sports. Locate the points on the dotplot that correspond to concussion rates for girls" sports and highlight them in a different color. Based on the dotplot, would you say that the concussion rates tend to be lower for girls' sports? (Hint: See Example 2.5.)

A report from Texas Transportation Institute (Texas A\&M University System, 2005 ) titled "Congestion Reduction Strategies" included the following data on extra travel time during rush hour for very large and for large urban areas. a. Construct a back-to-back stem-and-leaf display for the two different sizes of urban areas. (Hint: See Example 2.10.) b. Is the display constructed in Part (a) consistent with the following statement? Explain. Statement: The larger the urban area, the greater the extra travel time during peak period travel.