[DATA] Chicago High Schools Open the data set 1_3_17 from www....

Question

[DATA] Chicago High Schools Open the data set 1_3_17 from www.pearsonhighered.com/sullivanstats. The data set represents a list of every high school in the city of Chicago. Suppose you wish to conduct a survey of all the students enrolled for a simple random sample of 8 high schools in the city of Chicago. Record the name of the 8 high schools (individuals) selected. Write a description of the process you used to generate your sample.

Accepted Answer

Below there, today we are going to solve the following practice problem together. So first off, let us read the problem and highlight all the key pieces of information that we need to use in order to solve this problem. You have a CSV file containing every private high school in a state listed 1 per line. There are N equals 142 schools. You need a reproducible simple random sample without replacement of lower n is equal to 10 schools for a survey. Which procedure below correctly describes how to generate and record the sample? OK. So it appears for this particular problem, we're given a scenario, and in this scenario we have a CSV file, and CSV stands for comma separated values file containing every private high school in a state listed one per line, and there are capital N equals 142 schools total. And we are asked to create a reproducible like simple random sample without replacement of lowercase n equals 10 schools for a survey. And we're asked to determine which of our multiple choice answers describes a procedure that correctly describes how to generate and record the sample. So now that we know what we're ultimately trying to solve for, let's take a moment to read off our multiple choice answers to see what our final answer might be. A is number the school's 1 to 142. U a fixed seed random generator and run sample parenthesis of 1 to 14,210 to get 10 distinct indices, then map indices to school names. He is number the school's 1 to 142. Use a fixed seed random generator and run sample of parentheses of 12 14,210. Replace equals true, then map indices two names. C is number the school's 1 to 142. Generate 142 independent uniform random numbers. Choose the 10 smallest, and if any duplicate indices appear, discard them until you have 10 unique schools. And finally, D is number the schools 1 to 142, randomly choose 10 schools by selecting every 14th row, starting at a random start between 1 and 14th. OK. So our first step that we need to take in order to solve this particular problem is we need to label. So we need to label each school with a unique index from 12 N is equal to 142. Our second step that we need to take is we need to declare that the sampling objective is as follows. So we need to obtain a simple random sample without replacement of size lowercase n is equal to 10. Meaning we need to select 10 distinct indices uniformly from curly brackets of 1, continuing onwards to finally 142 once again inside of curly brackets. Our third step that we need to take, as we should recall, is we need to state the reproducible sampling formula, which, as we should recall, we need to use a pseudorandom generator with a fixed seed and sampling routine, meaning. We need to in the R run, we need to set seeds, and then we need the sample to be set to parenthesis. So once again, we need to do the run test, which is denoted sometimes as just R for run. And then we need to set seeds, so set seed parentheses S. and then we have our sample, which, as we should recall, our sample will be parentheses 1 to 142.10 in parentheses. So then our 4th and final step is we need to map the selected index to the corresponding CSV row, and then we need to record the 10 school names as the sample. So using this information that we should recall from our previous studies, the correct and final answer without a doubt will have to be multiple choice answer letter A, which once again is number the school's 12 142. Use a fixed seed random generator and run sample parentheses of 1 to 142.10. To get 10 distinct indices, then map indices to school names. And that's it. We've officially solved for this problem. Thank you so much for watching. Hopefully that helped and I can't wait to see you in the next video. Bye.

Key Concepts

Simple Random Sampling

Population and Sample

Sampling Procedure Description

Watch next