Please help with the following problems. Name Time Class Starts: (circle one) 5:
ID: 3069418 • Letter: P
Question
Please help with the following problems. Name Time Class Starts: (circle one) 5:45 pm 8 pm QUIZ 1 For Probs. 1-8: A college administrator is interested in what the various campus groups think of a proposal that would allow students to carry concealed weapons. He divides the campus into these sectors: professors, administrators and other workers. Then he performs a simple random sample students from each of the sectors, choosing a proportional number of respondents. Each survey asks the respondent whether to rate the concealed carry of weapons idea on a scale from 1-terrible, to 5--excellent. Identify, using three words or fewer, an example of each of the following statistical terms from the story above. 1) the sample method he is using 2) an individual 3) the population 4) the variable of interest 5) one variable value 6) Is he using descriptive or inferential statistics? 7) Is the variable numerical or categorical? 8) He decides to sample 7 of the 73 college professors. Using the list of all 73, he will do a simple random sample. Use the following random digit table to select these 7 professors. Treat the digits as one stream, i.e., the breaks into clusters of five are merely for readability 13842 34167 16831 36752 18250 26551 33092 Rows selected: and 8) To perform the same random selection on the TI-83 or TI-84, show the command you would use: 9) Classify each of these as a numerical or categorical variable: a) Hair color b) Grams of fat in a candy bar c) Phone number
Explanation / Answer
Based on the given information,
1) The sampling method used is Stratified Random Sampling.
Since the population is first divided into 4 homogenous sub groups called Strata, namely, professors, students, administrators and other workers.And then, a simple random sample is drawn from each of these stratum.Hence, the procedure adopted here is that of Stratified random sampling.
2) An individual, here, is a person in the campus, who may belong to any of the four strata, and is the basic unit of the study.
3) The population here, are the people in various campus groups.
4) The variable of interest Rating on idea of concealed carrying of weapons .
5) The variable values possible are:1,2,3,4,5 (Denoting 'Terrible' to 'Excellent')
6) He is using Inferential statistics, as he is trying to draw inference about the attitude of people towards an idea, based on a sample.
7) The variable has the possible values 1,2,3,4,5.Although the values are numeric, the represent distinct/ mutually exclusive categories with a specifically defined order.
Hence the variable is categorical.(1-Terrible,...5-Excellent represent categories)