Well, darling, there are 48 choose 5 ways to select a simple random sample of size 5 from a population of size 48. That's a whopping 1,712,304 different combinations you could whip up. So, go ahead and take your pick from that smorgasbord of possibilities!
There are 16,007,560,800 or just over 16 billion samples.
Number of samples = 42C4 = 42*41*40*39/24 = 111930
There are 324,632 possible samples.
You wouldn't want to use the same item twice, so just divide 38/5 = 7+ ... you can get 7 samples of size 5.
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 16,007,560,800 or just over 16 billion samples.
Number of samples = 42C4 = 42*41*40*39/24 = 111930
There are 324,632 possible samples.
You wouldn't want to use the same item twice, so just divide 38/5 = 7+ ... you can get 7 samples of size 5.
Approximately 1.364*1060
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.
The formula for simple random sampling is: n = N * (X / M) Where: n = number of samples N = population size X = sample size chosen M = total number of units in the population
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.
Data can be collected for independent samples by randomly selecting individual units or cases from the population of interest. This can be done using random sampling techniques such as simple random sampling, stratified sampling, or cluster sampling. By ensuring that each sample is selected independently of the others, we can maintain the assumption of independence among the samples in the data analysis.
7*6*5/(3*2*1) = 35
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.