How to Choose a Stratified Sample Using a Random Number Table

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The discussion centers on how to select a stratified sample using a random number table for a club with 30 students and 10 faculty members. The user initially struggles with the method to randomly select four students and two faculty members without combining the groups. They seek clarification on whether to assign numbers to each group separately or combine them for selection. After receiving feedback and a helpful link, the user resolves their confusion and completes the assignment. The conversation highlights the importance of understanding stratified sampling methods in statistics.
claytonh4
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I'm just starting stats and we're working on just gathering population samples right now, and I'm a little confused on how to get a stratified sample.

Homework Statement



A club has 30 students and 10 faculty. (my book lists out the names of the students and the faculty so I can assign them numbers) The club can send four students and two faculty members to a convention. It decides to choose those who will go by random selection. Use Table B beginning at line 123 to choose a stratified random sample of four students and two faculty.
(Table B is a random number table at the back of my book- I know how to use that)

Homework Equations



N/A

The Attempt at a Solution



I've gotten the hang of using the random number table to pick a simple random sample; however, I don't understand how to do so for a stratified sample. Typically I would assign the group members numbers (in this case 00 to 29 or 01 to 30 for a group of 30), and then pick out the two digit numbers that fit in the desired sample from the random number table. When I have two groups though, and I need a certain number from each group, I don't know what the correct way of doing it is. Do I simply combine the student and faculty groups and number them 01 through 40 and keep picking until I get 4 students and 2 faculty, or is there a more correct way??
Thanks!
 
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Could someone please help me?? Or maybe direct me to a source that could help? The assignment is due tomorrow.
 
clayton, nobody knows what stratified sample is, and how to calculate with it. Report your own post and ask to be moved somewhere else

This page might be of help: http://www.experiment-resources.com/stratified-sampling.html

ehild
 
ehild said:
clayton, nobody knows what stratified sample is, and how to calculate with it. Report your own post and ask to be moved somewhere else

This page might be of help: http://www.experiment-resources.com/stratified-sampling.html

ehild

I appreciate the link, but I already got it figured out and turned in. I don't understand what you mean by "nobody knows what a stratified sample is." It's one of the simplest statistical samples, I just didn't understand what method to use. Anyway, thanks again, problem resolved.
 
claytonh4 said:
I don't understand what you mean by "nobody knows what a stratified sample is." It's one of the simplest statistical samples, I just didn't understand what method to use.

It is too specific for "Precalculus Mathematics". I never heard about it.
If you do not get answer it can mean that either the people here do not understand or can not answer the question, or you did not show your attempt for the solution.

ehild
 
I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
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