Types of Data: For each of the following variables, classify them as quantitativ
ID: 3240680 • Letter: T
Question
Types of Data: 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. Sampling Techniques 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. coli. 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
A) Cluster Sampling : divide the population into groups (clusters). Obtain a simple random sample of so many clusters from all possible clusters
B ) Systematic sampling – Which sample members from a larger population are selected acc to a random starting point and a fixed periodic interval
C ) Stratified sampling : Divides the population into separate groups. Then, a probability sample (often a simple random sample ) is drawn from each group.
D ) Convenience sample : A convenience sample is made up of people who are easy to reach.
E ) None of them. Because it is non-probability sampling methods are based on human choice rather than random selection, statistical theory cannot explain how they might behave and potential sources of bias are rampant.
F ) Stratified Sampling : Partition the population into groups based on a factor that may influence the variable that is being measured.
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