Horng-Chyi HorngStatistics II_Five43 Inference on the Variances of Two Normal Population &5-5 (&9-5)

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Presentation transcript:

Horng-Chyi HorngStatistics II_Five43 Inference on the Variances of Two Normal Population &5-5 (&9-5)

Horng-Chyi HorngStatistics II_Five44

Horng-Chyi HorngStatistics II_Five45

Horng-Chyi HorngStatistics II_Five46 The Test Procedure

Horng-Chyi HorngStatistics II_Five47

Horng-Chyi HorngStatistics II_Five48

Horng-Chyi HorngStatistics II_Five49

Horng-Chyi HorngStatistics II_Five50 Confidence Interval on the Ratio of Two Variances

Horng-Chyi HorngStatistics II_Five51

Horng-Chyi HorngStatistics II_Five52 n Two independent random samples of size n 1 and n 2 are taken from two populations, and let X 1 and X 2 represent the number of observations that belong to the class of interest in samples 1 and 2, respectively. n For large samples, the estimation of the population proportions have approximate normal distributions. Inference on Two Population Proportions (I) &5-6 (&9-6)

Horng-Chyi HorngStatistics II_Five53 Inference on Two Population Proportions (II) n Therefore, is approximately standard normalization. n If H 0 : p 1 = p 2 is true, that is, p 1 = p 2 = p, then

Horng-Chyi HorngStatistics II_Five54 Inference on Two Population Proportions (III)

Horng-Chyi HorngStatistics II_Five55

Horng-Chyi HorngStatistics II_Five56

Horng-Chyi HorngStatistics II_Five57 Confidence Interval for p 1 – p 2

Horng-Chyi HorngStatistics II_Five58

Horng-Chyi HorngStatistics II_Five59

Horng-Chyi HorngStatistics II_Five60