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One and Two Sample

# One and Two Sample - Inference For(one mean Sample Size...

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

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