What is the size of the population under consideration, and what is the size of the desired sample?According to the Annual Survey of the Mathematical Sciences, there were a total of 1,430 math...
What is the size of the population under consideration, and what is the size of the desired sample?
According to the Annual Survey of the Mathematical Sciences, there
were a total of 1,430 math doctorates granted during the 2008-09
academic year. The AMS wants to bring in a group of 250 of these
new doctorates to attend an important conference about the future of
mathematics in America, and you have been assigned the task of
selecting the participants using a simple random sample (SRS).
Well, I'm not quite sure how to answer this, since your question seems to provide its own answers. The size of the population under consideration (in sampling, this is referred to as the universe) the paragraph tells us is 1430. A random sample could be easily generated by a computer that picks 250 of these names at random. The second part of your question asks about the size of the desired sample is also given as 250. If they want you to express that as a percentage, it is 17.5%.
Here the population is 1430 mathematics doctorates of 2008-09 academic, and ample is 250 to be chosen using technic of simple randon sample. The popultion size is 1430 and the sample size 25.
We can go about this like this. Let all the 1430 be serially listed by their names. Write their each of the serial number writen in separate small paper and keep all the paper bits in a vessel and mix them well. Draw 250 chits without seeing to avoid bias. The 250 serial numbers in the paper indicate a fair selection of 250 doctorarates by the technic of SRS.
We can as well generate 250 random numbers from 1 to 1430 by using random()*(b-a)+b in exel to generate random numbers. These random numbers correspond to the serial number of the doctorate who has been chosen by randomly.