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# Chapter 12.docx

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School
Department
Quantitative Methods
Course
QMS 202
Professor
Bob Hudyma
Semester
Winter

Description
Chapter 12: Hypothesis Testing: 2 Sample Tests 12.1: Comparing the means of 2 independent populations Z test for the difference between 2 means - test stat - determine diff b/ pop means based on diff b/ sample means 1 - = mean of sample of pop μ = mean of pop 2 σ = variance of pop n = size of pop - Pooled-Variance t-Test for the diff between 2 means - variances unknown - only info → sample means and sample variances - assume sample randomly and independently selected f/ pop 2 2 - Pooled variance t-Test → pop variances equal (σ = σ ) 1 2 - n1and n ≥230 = at least - H 0 μ1= μ o2 μ - μ1= 0 2 - H 1 μ1≠ μ or2μ - μ ≠10 2 - Sp= best estim under assumption 2 pop variance are equal = mean of sample of pop μ = mean of pop 2 σ = variance of pop n = size of pop - Sp= pooled variance 2 S1= variance sample from pop 1 - - 2-tail Test o reject H 0 tSTAT > critical val t-Test tSTAT< critical val t-Test - One tail test o reject H 0 tSTAT < lower tail critical val t-Test or tSTAT> upper tail critical val t-Test + - α/2 o - p-val < α = rejectH 0 - Casio o STAT → enter data in List 1 and List 2 → F3(TEST) → F2(t) → F2(2-S) 2-Sample tTest Data: F1(List) μ1 :
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