Inference on the Variances of Two Normal Population - PowerPoint PPT Presentation

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Inference on the Variances of Two Normal Population

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Inference on the Variances of Two Normal Population &5-5 (&9-5) Confidence Interval on the Ratio of Two Variances Inference on Two Population Proportions (I) Two ... – PowerPoint PPT presentation

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Title: Inference on the Variances of Two Normal Population


1
Inference on the Variances of Two Normal
Population
5-5 (9-5)
2
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3
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4
The Test Procedure
5
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6
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7
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8
Confidence Interval on the Ratio of Two Variances
9
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10
Inference on Two Population Proportions (I)
5-6 (9-6)
  • Two independent random samples of size n1 and n2
    are taken from two populations, and let X1 and X2
    represent the number of observations that belong
    to the class of interest in samples 1 and 2,
    respectively.
  • For large samples, the estimation of the
    population proportions
  • have approximate normal distributions.

11
Inference on Two Population Proportions (II)
  • Therefore,
  • is approximately standard normalization.
  • If H0 p1 p2 is true, that is, p1 p2 p,
    then

12
Inference on Two Population Proportions (III)
13
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14
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15
Confidence Interval for p1 p2
16
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17
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18
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