LargeOneandTwoSampleSummary

# LargeOneandTwoSampleSummary - H& 2 1& 2 2 = F = s 2 1...

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Inference For Sample Size Assumptions H 0 , Test Stat, Reference Interval Section (one mean) large n H 0 : = # x z s p n 7.2, 8.2 Z = x ± # s= p n standard normal small n observations normal H 0 : = # x t s p n 7.3,8.2 T = x ± # s= p n t with ± = n ± 1 1 ± 2 large n 1 ;n 2 independent samples H 0 : 1 ± 2 = # x 1 ± x 2 z s s 2 1 n 1 + s 2 2 n 2 9.1 (di/erence in means) Z = x 1 ± x 2 ± # s s 2 1 n 1 + s 2 2 n 2 standard normal small n 1 or n 2 independent normal samples H 0 : 1 ± 2 = # x 1 ± x 2 ^ t s s 2 1 n 1 + s 2 2 n 2 use random ^ ± given on page 357, or just ^ ± = min( n 1 ± 1 ;n 2 ± 1) 9.2 T = x 1 ± x 2 ± # s s 2 1 n 1 + s 2 2 n 2 t with ^ ± given on page 357, or just ^ ± = min( n 1 ± 1 ;n 2 ± 1) d large n (paired data) H 0 : d = # d z s d p n 9.3 (mean di/erence) Z = d ± # s d = p n standard normal small n (paired data) normal di/erences H 0 : d = # d t s d p n 9.3 T = d ± # s d = p n t with ± = n ± 1

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Inference For Assumptions Interval Section x new (a single additional value) observations normal x ts s 1 + 1 n 7.3 most of the distribution observations normal x 2 s or x ± 1 s; 1 ) or ( ±1 ; x + 1 s ) 7.3
Inference For Assumptions H 0 , Test Stat, Reference Interval Section 2 (one variance) observations normal H 0 : 2 = # X 2 = ( n 1) s 2 # ± 2 with ² = n 1 ( n 1) s 2 ± 2 upper and/or ( n 1) s 2 ± 2 lower 7.4, problem 82 page 344 2 1 2 2 (variance ratio) observations normal independent samples

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Unformatted text preview: H : & 2 1 & 2 2 = # F = s 2 1 =s 2 2 # F with ² 1 = n 1 & 1 and ² 2 = n 2 & 1 s 2 1 F upper ± s 2 2 and/or s 2 1 F lower ± s 2 2 9.5 Inference For Sample Size Assumptions H , Test Stat, Reference Interval Section p (one proportion) large n H : p = # Z = ^ p & # r #(1 & #) n standard normal ^ p ± z r ~ p (1 & ~ p ) n use ~ p = n ^ p + 2 n + 4 7.2,8.3 p 1 & p 2 (di/erence in proportions) large n 1 ;n 2 independent samples H : p 1 & p 2 = 0 Z = ^ p 1 & ^ p 2 p ^ p (1 & ^ p ) r 1 n 1 + 1 n 2 use ^ p given in display (9.5) page 376 standard normal ^ p 1 & ^ p 2 ± z s ~ p 1 (1 & ~ p 1 ) n 1 + ~ p 2 (1 & ~ p 2 ) n 2 use ~ p 1 = n 1 ^ p 1 + 2 n 1 + 4 and ~ p 2 = n 2 ^ p 2 + 2 n 2 + 4 9.4...
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LargeOneandTwoSampleSummary - H& 2 1& 2 2 = F = s 2 1...

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