Lecture_10_12

Lecture_10_12 - Lecture of October 12 Sample exam for...

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1 Lecture of October 12 Lecture of October 12 • Sample exam for midterm is available on the course website. • Tomorrow I will do one lecture during the Lab time at ZACH 203 . • HW#6 is due 10/17 in class -- No late homework accepted for this assignment .

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2 • Last Class - Type I error ( α ) versus Type II error ( β ) - Their inter-relationship - How to calculate Type II error probability ( β ) - The factors affect the Type-II error
3 Example 3.7 Example 3.7 Suppose we wish to test the hypotheses H 0 : µ = 45 H 1 : µ≠ 45 where we know that σ 2 = 16.0. If the true population mean is 50, what sample size must be used to ensure that the probability of type II error is no greater than 0.10? Assume that α = 0.05.

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4 Example 3.7: Example 3.7: Exhaust all the Exhaust all the β β 's 's 0.089 7 0.1353 6 0.2018 5 0.2946 4 0.4187 3 0.5761 2 0.7605 1 β n β < 0.1
5 Example 3.7: Use OC Curve Example 3.7: Use OC Curve n = 7 d=| δ |/ σ

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6 Example 3.8: Example 3.8: Which Exam Is Harder? Which Exam Is Harder?
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Lecture_10_12 - Lecture of October 12 Sample exam for...

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