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hw2solu_STAT515Fall2011

hw2solu_STAT515Fall2011 - Homework No 2(STAT515-Fall 2011...

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Homework No. 2 (STAT515-Fall 2011) 1.12. ( 24 points ) Except for d , which is qualitative, all the others are quantitative. Comment: Some of you argued that “ b. High school class rank” is qualitative. One reason you presented to me is that it is not as meaningful to consider “the average rank” as, for instance, “the average GPA”. I like this reasoning and agree with you on that. However, some of you view “High school class rank” as quantitative because there is a natural ordering attached to such data, just like there is a natural ordering in the data of “age” or “income”. I follow this reasoning too. In fact, one sub-type of “qualitative data” is called “ordinal data”, which indeed has a natural order. An example of ordinal data is “military ranking” (with values like Private, Corporal, Sergeant, etc.). It seems obvious that the data type of “military ranking” is qualitative even though there is a natural order of these different values. In summary, it is okay at this stage to view “High school class rank” (with values like first, second, third, etc.) as either quantitative or qualitative. One will not be put in jail for choosing one type over the other (yet). It will become important which type you claim it to be when we want to analyze such data in a sensible way. We are not there yet. 1.15. ( 24 points ) a. The population consists of all individuals in the U.S. (If the phone calls reached people outside of the U.S., then one may view the population as all individuals in the countries where people were reached by phone in this study.)
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