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Lecture_10_05

# Lecture_10_05 - Lecture of October 05 Midterm is coming...

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1 Lecture of October 05 Lecture of October 05 Midterm is coming up (Oct 20). A sample exam will be given to you next week. HW#5 due 10/10 in class

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2 Summary for Hypothesis Test Summary for Hypothesis Test 1) Write down your hypotheses, H 0 and H 1 ; 2) Select a value of α , typically α =0.05; 3) Find an appropriate test statistic and compute its value 4) Find the proper decision rule to decide if you could reject H 0 n x z / 0 0 σ µ = for CASE I µ µ µ = µ 0 1 0 0 : : H H one-sided if | z 0 | > z α /2 , reject H 0 µ < µ µ = µ 0 1 0 0 : : H H two-sided if z 0 < - z α , reject H 0 one-sided µ > µ µ = µ 0 1 0 0 : : H H if z 0 > z α , reject H 0
3 Example 3.3 Example 3.3 The cooling system in a nuclear submarine consists of an assembly pipe through which a coolant is circulated. Specifications require that weld strength must exceed 150 psi. Suppose the designers decide to test the hypothesis H 0 : µ =150. Which of the following alternative hypothesis are preferable: H 1 : µ >150; or H 1 : µ <150?

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4 More Hypothesis Tests More Hypothesis Tests
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Lecture_10_05 - Lecture of October 05 Midterm is coming...

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