Terms and Definitions
This is the distribution of possible values of a statistic from all possible samples of the same size from the same population
What is a Sampling Distribution?
This is the concept that a sampling distribution of significant size will always form a normal distribution, regardless of the shape of the population that the samples are drawn from.
What is the Central Limit Theorem?
In order for our sample proportion to be treated as a normal distribution, the sample be this type.
What is a random sample?
This is a number or measurement that describes a population.
What is a parameter?
State the formula to find the standard deviation of a sample mean.
sigma(xbar) = sigma/sqrt(n)
This is a number or measurement that describes a sample
What is a statistic?
In Weaksauce City, the mean length of a stay in hospitals is 5.5 days with standard deviation of 2.6 days. This distribution can't be normal, however, because hospital visits for specific injuries skew the graph strongly to the right. Consider random samples of size 100 taken from the distribution with the mean length of stay, xbar, recorded for each sample. Describe the shape of the sampling distribution of xbar.
What is approximately normal?
What is the sample size condition for proportions?
The sample size must be large enough such that np^>10 and n(1−p^)>10.
or
The Large Counts Condition
The mean of a sampling distribution approaches this value according to the Central Limit Theorem.
What is the mean of the population?
The condition that is not necessary as long as the population of a sample mean is approximately normal.
What is the Central Limit Theorem.
This is a comparison (ratio) between two values, may be expressed as a fraction, decimal or percent.
What is a proportion?