Approximately 1.364*1060
There are 25C7 different samples of seven from a pool of 25.25C7 = 25!/(7!(25-7)!) = 480 700 different samples of 7
It is simple statistics. It would be almost impossible to survey an entire population, so they apply a simple random sample in which each person in the population receives a numerical value (001 - 999 for example). Then they use a random number generator on a calculator or use a random digit table to choose an appropriate amount of people to be sampled. It is more cost effective and easier to do it this way, yet still represents the population fairly accurately.
simple random sampling
Take a simple random sample.
Cheap, simple, easily applied to a small population ensures bias is not introduced
There are 324,632 possible samples.
There are two equivalent ways of defining a simple random sample from a larger population. One definition is that every member of the population has the same probability of being included in the sample. The second is that, if you generate all possible samples of the given size from the population, then each such sample has the same probability of being selected for use.
There are 25C7 different samples of seven from a pool of 25.25C7 = 25!/(7!(25-7)!) = 480 700 different samples of 7
Number of samples = 42C4 = 42*41*40*39/24 = 111930
There are 16,007,560,800 or just over 16 billion samples.
7*6*5/(3*2*1) = 35
Stratified Random Sampling: obtained by separating the population into mutually exclusive (only belong to one set) sets, or stratas, and then drawing simple random samples (a sample selected in a way that every possible sample with the same number of observation is equally likely to be chosen) from each stratum.
Describe how more complex probability sampling techniques could provide samples more representative of a target population than simple random sampling Illustrate your answer with an information technology example.
Sometimes a population consists of a number of subsets (strata) such that members within any particular strata are alike while difference between strata are more than simply random variations. In such a case, the population can be split up into strata. Then a stratified random sample consists of simple random samples, with the same sampling proportion, taken within each stratum.
You wouldn't want to use the same item twice, so just divide 38/5 = 7+ ... you can get 7 samples of size 5.
Simple random sampling.
at a large university a simple random sample of 5 female proffesors is seleted and a simple random sample of 10 male professors is selected. the two samples are combine to give an overall sample of 15 professor. the overall sample is?