# 409Hw09 - STAT 409 Fall 2009 Homework#9(due Friday October...

This preview shows pages 1–2. Sign up to view the full content.

STAT 409 Homework #9 Fall 2009 (due Friday, October 30, by 4:00 p.m.) From the textbook: 8.2-16 9.1-4 9.1-6 9.1-7 9.1-10 9.1-12 7. Let X 1 , X 2 , … , X 25 be a random sample from a N ( μ , 100 ) population, and suppose the null hypothesis H 0 : μ = 100 is to be tested. a) If the alternative hypothesis is H 1 : μ > 100, compute the power of the appropriate test at μ = 101 and at μ = 102. Use α = 0.05. b) If the alternative hypothesis is H 1 : μ 100, compute the power of the appropriate test at μ = 101 and at μ = 102. Use α = 0.05. c) For the test in (a) compute the p-value associated with X = 103.5. d) For the test in (b) compute the p-value associated with X = 103.5. 8. Let X 1 , X 2 , … , X 12 be a random sample of size n =12 from a Poisson distribution with mean λ . That is, P ( X 1 = k ) = ! λ λ k e k - , k = 0, 1, 2, 3, … . Consider the test H 0 : λ = 1 / 2 vs. H 1 : λ < 1 / 2 . The rejection region is given by

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 2

409Hw09 - STAT 409 Fall 2009 Homework#9(due Friday October...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online