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A __________ is a deduction or conclusion.
Inference
Statistical inference
The process of drawing conclusions about an entire population based on the information in a sample.
Sampling Distribution
Is the probability distribution of a sample statistic that is formed when random samples of size n are repeatedly from the population.
Every sample statistic has _________
a sampling distribution
The standard error of the mean
the standard deviation of the sampling distribution of sample means
Central Limit Theorem (CLT) Why is it important? 2 reasons
1. Describes the relationship between the sampling distribution of sample means and the population from which the samples are taken
2 Gives information needed to use sample statistics to make inferences about population mean
Central limit Theorem holds if...
1. If random samples of size n, where n ≥ 30, are drawn from any population with mean μ and the standard deviation σ, then the sampling distribution of sample means approximates a normal distribution.
2. If random samples of size n are drawn from a population that is normally distributed, then the sampling distribution of sample means is normally distributed for any sample size n
The _______ the sample, the _________ the approximation
1. greater
2. better
in either case of the CLT theorem, the sampling distribution of sample means has a mean equal to the __________
population mean
As the size of a sample __________, the standard deviation of the distribution of sample means __________
1. Increases
2. Decreases
As the size of a sample ___________, the mean of the distribution of sample means does not change.
increases
