A large restaurant chain (see Example 1.6) periodically offers special milk shake flavors for a limited time. Suppose that the contenders for the next special flavor are Green Mint, Orange Crush, Egg Nog, and Pi ˜ na Colada. The chain plans to collect data from customers on these flavors, and there are several ways they might solicit responses. For each of the options below, state the number of variables needed to code the information in a dataset, whether the variable(s) is/are categorical or quantitative, and what sort of values should be recorded.

(a) ‘‘Which of the four flavors is most appealing to you?”

(b) ‘‘Put a check next to any of the four flavors you find appealing.”

(c) ‘‘Please rank the four flavors with 1=most appealing and 4=least appealing.”

(d) ‘‘Rate each of the four flavors on a 1 to 10 scale with 10=extremely appealing and 1=very unappealing.”