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what is a discrete random variable
quantitative variables that have a countable, but possibly infinite, number of responses
what is a continuous random variable
random variables that can take on an uncountable number of values
what is a distribution
a way to describe the shape of a probability curve
what is a discrete probability distribution
a description of the frequency or relative frequency of each of the classes based on experimental units
what is an expected value for a discrete probability distribution
a representation of a mean, but only over many, many trials
what is the standard deviation for a discrete probability distribution
a representation of the data and how its spread out across the distribution
what is a uniform distribution
a distribution where all the probabilities of being near a value is the same
what is a NORMAL distribution
a continuous distribution where the shape is specific to a bell shape
what is a point estimator
a single point that is used to make an inference
what is an error of estimation
the likely value of the difference between the estimate and the true value of the parameter
what is an unbiased estimator
when the mean of a sampling distribution is equal to the parameter in question
what is a biased estimator
when the mean of a sampling distribution is not equal to the parameter in question
what is the standard error of a statistic
it is what we call the mean and standard deviation for sampling distributions specifically
what is a sampling distribution
a distribution where the values come from a large set of samples, and we look at a specific statistic of these samples
what is an interval estimator
an estimation of a parameter using an interval
what is a margin of error
half of the width of the confidence interval
what do we mean when we talk about confidence (confidence interval)
over many trials, % of results that match the parameter to the interval
what do we mean when we talk about significance
over many trials, the probability that a randomly selected trial will not have the parameter on the interval
what are degrees of freedom
sample size minus one