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Probability and Statistics ( week -10)

Probability and Statistics ( week -10). Onur DOĞAN. Hypothesis Testing. Test Regions. Test Errors. Hypothesi s Testing Procedure. Tests on the Mean of a Normal Distribution, Variance Known. Example. .sdf. Relationship Between CI and Hypothesis Test. Tests on a Population Proportion.

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Probability and Statistics ( week -10)

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  1. ProbabilityandStatistics (week-10) Onur DOĞAN

  2. Hypothesis Testing • .

  3. Test Regions .

  4. Test Errors • .

  5. Hypothesis TestingProcedure

  6. Tests on the Mean of a NormalDistribution, VarianceKnown • .

  7. Example • .sdf

  8. Relationship Between CI and Hypothesis Test

  9. Tests on a Population Proportion • .

  10. Example .

  11. Example • Suppose that a factory is producing wheels for airbuses. The manufacturer claims that they produce wheels with at least 3 meters diameter. • The quality control department of the buyer firm investigate a sample from the daily product. They controlled 36 wheels and found that average diamater is 2,92 and s.d. is 0,18. • Test the claim at α=0.05 significance level

  12. Example • According to a recent poll 53% of Americans would vote for the incumbent president. If a random sample of 100 people results in 45% who would vote for the incumbent, test the claim that the actual percentage is 53%. Use a 0.10 significance level.

  13. Example • The national weather service says that the mean daily high temperature for July in İzmir is 42°C. A local weather service wants to test the claim of 42°C because it believes it is different. A sample of mean daily high temperatures for October over the past 31 years yields =44°F and s=3.8°C. Test the claim at α=0.01 significance level.

  14. Example • In a clinical study of an allergy drug, 108 of the 203 subjects reported experiencing significant relief from their symptoms. At the 0.01significance level, test the claim that more than half of all those using the drug experience relief.

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