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How can you determine whether a sample is representative of a population?
Take a simple random sample.
When you draw a sample from a normal distribution what can you conclude about the sample distribution?
The answer depends on how the sample is selected. If it is a simple random sample, of size n, then it is distributed approximately normally with the same mean as the population mean.The answer depends on how the sample is selected. If it is a simple random sample, of size n, then it is distributed approximately normally with the same mean as the population mean.The answer depends on how the sample is selected. If it is a simple random sample, of size n, then it is distributed approximately normally with the same mean as the population mean.The answer depends on how the sample is selected. If it is a simple random sample, of size n, then it is distributed approximately normally with the same mean as the population mean.
When dividing a population into subgroups so that a random sample from each subgroup can be collected?
simple random sampling
A sample selected in such a way that each members of the population has an equal probability of being chosen?
That is known as a simple random sample, or SRS.
What is the difference between a random sample and a simple random sample?
This is a very vague area for new students in Statistics, especially for non-math students.Random Sample: Each member of the entire population has an equal chance of being selected.Simple Random Sample: You can select groups of size n from the entire population, and every possible group has the same chance of being selected.Example: Consider a box with 100 marbles.Random Sample: Reach in and select one marble. Each marble has the same chance of being selected.Simple Random Sample: Reach in and select marbles in groups of 6 (n = 6). No matter how many times you do this, every possible group of six marbles has the same chance of being selected. If you then try selecting groups of 17 (n = 17) marbles, you will also find that every possible group of 17 marbles has an equal chance of being selected.Random, but not Simple Random: For the Presidential Election, lets say you select a random sample of all voting precincts in your state, then interview *all the voters as they leave the polling place. The sample is random because all precincts have an equal chance of being selected. The sample is not simple random, because those voters from precincts that were *not* selected have no chance of being interviewed. This is also known as a Cluster Sample.There is no such thing as a sample that is "Simple Random, but not Random" because n can also equal a sample of size 1.
