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Stat 212 - Ch. 17, Inference about a Population Mean Flashcards

- Conditions for inference
- The t distributions
- The one-sample t confidence interval
- The one-sample t test
- Using technology
- Matched pairs t procedures
- Robustness of t procedures

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360218745Tests and confidence intervals for the mean μ of a Normal population are based on what?The sample mean x̄ of an SRS.
360218746Because of the central limit theorem, the resulting procedures are approximately correct for other population distributions when what condition is met?When the sample is large.
360218747Conditions for inference about a mean: We can regard our data as an ____ from the population. This condition is very important. Observations from the population have a ___ with mean μ and standardd deviation σ. Both are unknnown parammeters.SRS Normal distribution
360218748In practice, inference procedurres can accomodate some deviations from the Normality conditions when the sample is what?Large enough.
360218749The standardized sample mean is the one-sample z statistic.z = x̄-µ / σ/√n
360218750Why don't we use the z statistic?If we knew σ, we would use the z statistic and the standard Normal distribution. However, in practice, we do not know z.
360218751We use the one-sample t statistic when?We cannot use the z statistic due to not knowing what σ is.
360218752The standard error ___ replaces the standard deviatioon σ/√n in the one-sample t statistic.s/√n
360218753What is the equation for the one-sample t statistic?t = z = x̄-µ / s/√n
360218754The t statistic has the ___ distribution with ___ degrees of freedom.t (distribution) n-1

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