Question 14.37

14.37 The ANOVA framework.

For each of the following situations, identify the response variable and the populations to be compared, and give , the , and .

  1. Last semester, an alcohol awareness program was conducted for three groups of students at an eastern university. Follow-up questionnaires were sent to the participants two months after each presentation. There were 220 responses from students in an elementary statistics course, 145 from a health and safety course, and 76 from a cooperative housing unit. One of the questions was, “Did you discuss the presentation with any of your friends?” The answers were rated on a five-point scale with 1 corresponding to “not at all” and 5 corresponding to “a great deal.”
  2. A researcher is interested in students’ opinions regarding an additional annual fee to support nonincome-producing varsity sports. Students were asked to rate their acceptance of this fee on a five-point scale. She received 94 responses, of which 31 were from students who attend varsity football or basketball games only, 18 were from students who also attend other varsity competitions, and 45 were from students who did not attend any varsity games.
  3. A university sandwich shop wants to compare the effects of providing free food with a sandwich order on sales. The experiment will be conducted from 11:00 A.M. to 2:00 P.M. for the next 20 weekdays. On each day, customers will be offered one of the following: a free drink, free chips, a free cookie, or nothing. Each option will be offered five times.

14.37

(a) Response: rating score (1 to 5). The populations are (1) elementary statistics students, (2) health and safety students, and (3) cooperative housing students. . (b) Response: acceptance rating (1 to 5). The populations are (1) students who attend varsity football or basketball games only, (2) students who also attend other varsity competitions, and (3) students who did not attend any varsity games. . (c) Response: sales. The populations are sales on days offering (1) a free drink, (2) free chips, (3) a free cookie, and (4) nothing. .