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5 Cards in this Set
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- Back
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Degrees of freedom (df)
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The parameter of the Student's t-distribution that depends upon the sample size. Typically, more degrees of freedom reflects increasing information from the sample
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One-sample t-interval for the mean
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A one-sample t-interval for the population mean is:
(random equation) The critical value t*(n-1) depends on the particular confidence level, C, that you specify and on the number of degrees of freedom, n-1 |
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One-sample t-test for the mean
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The one-sample t-test for the mean tests the hypothesis, H(null), u=u(null) using the statistic t(n-1)=(random equation)
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Sampling distribution model for a mean
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If the independence assumption and randomization condition are met and the sample size is large enough, the sampling distribution of the sample mean is well modeled by a Normal model with a mean equal to the population mean, and a standard deviation equal to (standard deviation/ square root of n)
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Student's t
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A family of distributions indexed by its degrees of freedom. The t-models are unimodal, symmetric, and bell-shaped, but generally have fatter tails and a narrower center than the Normal model. As the degrees of freedom increase, t-distributions approach the Normal model.
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