In an unpaired two-sample problem, an experimenter observes n = 38, ī = 5.782 from population A and m = 40, ỹ = 6.443 from population B. Suppose that the experimenter wishes to use values ga = gs = 2.0 for the population standard deviations. What is the p-value for the hypothesis testing problem Ho :HA HB versus HA :HA

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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In an unpaired two-sample problem, an experimenter observes \( n = 38, \overline{x} = 5.782 \) from population A and \( m = 40, \overline{y} = 6.443 \) from population B. Suppose that the experimenter wishes to use values \( \sigma_A = \sigma_B = 2.0 \) for the population standard deviations. What is the p-value for the hypothesis testing problem \( H_0 : \mu_A \geq \mu_B \) versus \( H_A : \mu_A < \mu_B \)?
Transcribed Image Text:In an unpaired two-sample problem, an experimenter observes \( n = 38, \overline{x} = 5.782 \) from population A and \( m = 40, \overline{y} = 6.443 \) from population B. Suppose that the experimenter wishes to use values \( \sigma_A = \sigma_B = 2.0 \) for the population standard deviations. What is the p-value for the hypothesis testing problem \( H_0 : \mu_A \geq \mu_B \) versus \( H_A : \mu_A < \mu_B \)?
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