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Hypothesis Mean 2 Notes Spring

# Hypothesis Mean 2 Notes Spring - 8 of 13 1.3 Testing a...

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Unformatted text preview: 8 of 13 1.3 Testing a claim when σ is unknown 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 One Sample t-Test, alpha=0.05, Two Tailed (NOTE: CLT must apply.) h σ Power n = 1000 n = 250 n = 100 n = 50 n = 30 n = 20 n = 10 n = 5 sig . l e v e l = 0.01 power = 0.8 alternative = one . sided Thus, required sample size is n = 19. Since our original sample only used n = 10, our power was much less than 0.8. OC CURVES FOR T-TEST Operating Characteristic Curves. Definition 1.3 OC curves for various hypothesis tests provide a simple method for quickly estimating the required sample size (ad-hoc) necessary to achieve a desired power for a given hypothesis test. They are also used to estimate the actual Type II error (pos-hoc) once a study has been conducted. Now we will repeat our previous example using OC curves. Anthony Tanbakuchi MAT167 Testing a claim about a population mean 9 of 13 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 One Sample t-Test, alpha=0.01, Two Tailed (NOTE: CLT must apply.) h σ Power n = 1000 n = 250 n = 100 n = 50 n =...
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Hypothesis Mean 2 Notes Spring - 8 of 13 1.3 Testing a...

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