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Terms in this set (135)
the difference between one sample mean and the
What is sampling error?
population mean
What is the difference A parameter is a value that describes a characteristic of
between sample statistics an entire population vs. A statistic is a characteristic of a
and population sample
parameters?
the collection of sample means for all the possible
random samples of a particular size (n) that can be
What is the distribution of obtained from a population
sample means?
allows us to find the exact probability of obtaining a
specific sample mean from a specific population
How do we get the Using z-scores because the distribution is usually
distribution of sample normal.
means?
How does the mean of this As more samples are added the sample means will pile
distribution change as we up around the population mean.
take more samples?
How does the variability of As we take bigger samples the variability will spread out
this distribution change as to better reflect the population distribution.
we take bigger samples?
For any population with mean μ and standard deviation
σ, the distribution of sample means for sample size n
What is the Central Limit
will have a mean of μ and standard deviation of σ/√n
Theorem?
and will approach a normal distribution as n approaches
infinity.
, 1. The average of our distribution of sample means will
be the population mean
What three implications of
2. The standard deviation for the distribution of sample
the CLT did we discuss in
means is smaller than the population standard deviation
class?
3. The distribution of sample means is normal - even
when the population distribution is not!
How does this affect the Distribution of sample means will be normal even when
shape, mean, and variability the population is not.
of the distribution of
sample means?
What is the standard error? Standard error is the average sampling error
How is standard error It is the deviation for sample means rather than
similar to and different from individual observations
the standard deviation?
How is standard error Standard error is just the average of the sampling error.
similar to and different from
sampling error?
The larger the number of individuals randomly drawn
What is the Law of Large
from a population, the more representative the resulting
Numbers?
group will be of the entire population
How can we use the
distribution of sample
means to find the
probability of a particular
mean from a population?
How is using distribution of
sample means different
from finding the probability
of a single score?
a statistical method that uses sample data to evaluate a
What's a hypothesis?
hypothesis about a population.
What roles do samples and Sample is our measured group used to make inferences
populations play in about the population.
hypothesis testing?
, How do we get from 1. We make a hypothesis about a population parameter
population parameters to 2. If that population parameter is correct, it implies a
sample statistics and vice pattern of sample statistics we should see in our study.
versa? Describe the 3. We collect an actual sample of data
general process, as 4. We compare our sample statistic to our prediction
outlined in your text.
Explain the idea of the Unknown population refers to the fact that population
"unknown population." parameters are typically unknown. To account for this
What does it mean if we we compare a known (assumed) population with the
conclude that our sample is unknown population.
more likely to have come
from the unknown
population than the known
one?
What is the definition of the States that in the general population there is no change,
null hypothesis? What does no difference, or no relationship. H0
the null hypothesis always
predict? What symbol do
we use to represent the
null?
What is the definition of the States that there is a change, a difference, or a
alternative hypothesis? relationship for the general population. H1
What symbol do we use to
represent it?
By default, which Null hypothesis
hypothesis do we always
assume is true unless we
have evidence to the
contrary?
Alpha level, or level of significance, is the decision rule
we set about the level of probability we will consider
"pretty unlikely."
What is the alpha level? vs.
What is the critical region? Critical region is the part of the distribution of sample
How are these related? statistics that is more extreme than (outside) the point in
the distribution that corresponds to alpha.
Related: critical region is where we would find values
that meet the alpha level of significance.