Statistics - Exam 3
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Normal distribution with a mean equal to 0 and a standard deviation equal to 1 | standard normal distribution
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| Value that serves as a best guess at the value of the population parameter | point estimator
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| Range of values used to estimate a population parameter with a specific degree of confidence | confidence interval
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| Probability that the interval actually does contain the population parameter | degree of confidence
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| value measuring some characteristic of a population | parameter
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| complete collection of people, objects, scores, etc. to studied | population
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| any sub collection of data drawn from a population | sample
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| Characteristics of the standard normal distribution: | 1) central mean, median and mode
2) symmetric
3) curve never touches x axis
4) areas under curve represent probabilities
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| Concepts of the Central Limit Theorem: | 1) If random variable x is normally distributed, then the sample mean will be as well for ANY sample size
2) If random variable x is NOT normally distributed then sample mean WILL BE normally distributed if the sample size is large enough (n>30)
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| Why use n-1 degrees of freedom? | accounts for error found in small samples
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| As sample size increases results __________. | narrow
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| As confidence interval increases results ___________. | widen
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| Why are interval estimators better than point estimators? | because interval estimators provide an upper and lower boundary increasing the likelihood that the parameter will fall within those bounds
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| variance of a sample symbol | s²
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| standard deviation of a sample symbol | s
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| variance of a population symbol | σ²
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| standard deviation of a population symbol | σ
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| mean of a sample symbol | x with a line above it
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| mean of a population symbol | µ
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| proportion of a population symbol | P
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| proportion of a sample symbol | p with a hat
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