Sudbury 8 2 the mean difference between 10 how can

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Unformatted text preview: ns (σ1 and σ2 unknown) Option 1 Population Mean test statistic upper tail test Hypothesis Tests lower tail test two-tailed test Difference Between 2 Population Means x −µ (x1 − x2)− D0 0 tSTAT = tSTAT = , df Optionn1: s s 2 s22 1 degrees of freedom = n – + =… Independent Samples n1 n2 1 • generates two sets of H0: μ ≤ can H0: μ1 – μ2≤ D0 data which μ0 be Ha: μ > μ0 Ha: μ1 – μ2> D0 treated as 2 reject H0 if tSTAT > tα or p-value<α reject H0 if tSTAT > tα or p-value<α populations • H0: μ1 – μ2 ≥ D0 can H0: μ ≥ μ0 analyze the Ha: μ < μ0 Ha: μ1 – μ2 < D0 difference between reject H0 if tSTAT <– tα or p-value<α reject H0 if tSTAT <– tα or p-value<α the 2 population means as already H0: μ = μ0 H0: μ1 – μ2= D0 Ha: μ ≠ μ0 Ha: μ1 – μ2≠ D0 demonstrated for reject H0 if tSTAT < 10.2 tSTAT > –tα/2 or reject H0 if tSTAT < –tα/2 or tSTAT > Outcome-value<α tα/2 or if p tα/2 or if p-value<α Hypothesis Tests about the Difference between Two Population Means (σ1 and σ2 unknown) Option 2 Difference Between 2 Population Means Population Mean test statistic upper tail test tSTAT = x −µ 0 sn tSTAT = degrees of freedom = n – 1 H0: μ = μ0 Ha: μ ≠ μ0 reject H0 if tSTAT < –tα/2 or tSTAT > tα/2 or if p-value<α reject H0 if tSTAT < –tα/2 or tSTAT > tα/2 or if p-value<α • Hypothesis Tests H0: μ ≥ μ0 Ha: μ <...
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