For each of the following variables, classify them as quantitative or qualitativ
ID: 3255228 • Letter: F
Question
For each of the following variables, classify them as quantitative or qualitative. If the variable is quantitative determine whether the variable is discrete or continuous. In addition, determine the level of measurement for these variables (nominal, ordinal, interval, or ratio). (a) The gas mileage from 30 different types of cars. (b) The number of taste-buds on the tongues of 20 males and 20 females. (c) The colors of all models of a certain type of car. (d) Movie ratings of (number of stars) from a certain magazine. (e) The years of major tsunami events. (f) The student ID numbers from 100 randomly selected college students. Money: Explain why money might be considered a discrete or continuous variable. Random and Simple Random: Determine whether the sampling method is random, simple random, or neither. (a) In a group of 100 males and 200 females, 40 participants are selected for a survey: 20 males and 20 females. (b) In a group of 100 males and 100 females, 40 participants are selected for a survey: 20 males and 20 females. (c) Student ID numbers are put into a computer and 20 of these students are randomly selected for a survey. (d) There are 10 bags of spinach per box coming from Green Acres spinach Company. The health inspector wants to sample 40 bags of spinach. She randomly selects 4 boxes from the 100 boxes being shipped that day and tests each bag in the selected boxes for the presence of the bacteria E. Sampling Methods: Identify the type of sampling used; systematic, convenience, stratified, or cluster or none of them. Then comment on whether the sample is random or not. (a) The commissioner randomly selects 2 teams from all 30 MLB teams and has everyone on that team drug tested. (b) At a border crossing, every 15th car is searched. (c) I randomly select 10 male and 10 female students to be in a survey on whether or not they like my statistics class. (d) In a survey about a given movie, a surveyor stands at the exit and interviews people as they come out of the theater. When one survey is completed the surveyor picks the next person coming out of the theater (e) A quality assurance person randomly selects one box of CD's coming off the production line and tests all of the CD's in that box for defects. (f) In a survey of TV viewing preferences 100 people are chosen from the age brackets of 15-20, 21-25, 26-30, ...Explanation / Answer
Q6:
(a)
The gas millage is a quantitative variable. It can take values like 55.2, 13.5 etc. It is continuous random variable.
Since 0 is meaning full so level is ratio.
(b)
It is a quantitaive variable.
Taste buds can take integer values only like 4, 5 etc. It cannot take value like 3.2 or 6.3 etc. So it is discrete.
Since 0 is meaning full so level is ratio.
(c)
Colors is a qualitative variable.
Since we cannot define order between the colors so it is nominal level variable.
(d)
Moving rating is a qualitative variable.
Since we can define order between the ratings so it is ordinal level variable.
(e)
Years (like 1998, 1997 etc) is a qualitative variable.
Since we can define order between the years so it is ordinal level variable.
(f)
ID numbers can be numerical or alphnumeric. So it is a qualitative variable.
Since we can define order between the IDs so it is ordinal level variable.
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