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26 Cards in this Set
- Front
- Back
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interval estimation
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provides info on how close point estimate is to the value of the population parameter
point estimate +/- Standard Error |
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Standard Error σ x-bar
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σ
-- square root of(n) |
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95% confidence level
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1.96 standard deviations Z(α/2)
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90% confidence level
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1.65 standard deviations Z(α/2)
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99%
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2.59 standard deviations Z(α/2)
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Margin of Error: E
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Z(α/2) x S/square root(n)
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confidence level estimate
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X-bar +/- Z(α/2) (σ/square root(n))
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degrees of Freedom: DF
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n-1
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sample standard deviation: S
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square root (Σ(x-bar - x)^2/(n-1))
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square root(n)
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(Z(α/2) x σ) / E
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planning value of σ
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Range / 4
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σ (p-bar)
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square root(p(1-p)/n)
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type I error
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when you reject when you should not have
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type II error
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when you do not reject, but should have
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α level of significance
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probability of making a type I error
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β
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probability of making a type II error
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Lower tail test
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Hα < μ
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upper tail test
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Hα > μ
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two tail test
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Hα = μ
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test statistic:
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(x-bar - μo) / (σ/square root(n))
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PV test: σ known
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determine PV in specified tail by using Z value
If PV < α, reject Ho |
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CV test: σ known
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use α on t table to find Zα/2
if Z is more extreme than Zα/2, reject Ho |
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pv test: σ unknown
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use test statistic and DF on T table
If PV < α, reject Ho |
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CV test: σ Unknown
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use α on t table to find Zα/2
if Z is more extreme than Zα/2, reject Ho |
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α
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1 - confidence level
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Proportion Test statistic
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P-bar - Po / square root(Po(1-Po)/n)
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