A sample selected so that each item or person in the population has the same probability or chance of being included
Simple Random Sampling
A random starting point is selected, and then every kth member of the population is selected. Used when it’s difficult to assign random numbers.
Systematic random sampling
When should random sampling not be used
When physical order of the population is related to the population characteristics
A sample where the population is divided into subgroups called strata, and a sample is randomly selected from each stratum
Stratified random sampling
When a population is divided into cluster using naturally occurring geographic or other boundaries. Then, clusters are randomly selected and sample is collected by randomly selecting from each cluster.
Cluster sampling
List four reasons we use sampling
The probability distribution of all possible sample means of a given sample size
Sampling distribution of the sample mean
How are sample means distributed? What does this tell us
Normal distribution. That they follow the empirical rule
What are 3 important relationships between the populations distribution and the sampling distribution
Theorem that states all samples of a particular size are selected from any population, the sampling distribution of the sample mean is approximately a normal distribution
Central Limit Theorem
Because it can be demonstrated that the mean of the sampling distribution is exactly equal to the population mean, the standard deviation of the sample mean is
standard deviation/square root of n
Standard error of the mean
how do you find the z-value of a sample mean when the standard deviation is known
z= sample mean - population mean/standard deviation divided by square root of sample
The fraction, ratio, or percent indicating the part of the sample or population having a particular trait of interest.
Proportion
Sample portion formul
P=x/n where P is the proportion, x is the number of successful outcomes, and n is the sample size
The difference between a sample statistic and its corresponding population parameter
Sampling error