{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

hw2 - MAT 3378 3X Spring 2010 Assignment 2 Deadline Friday...

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

MAT 3378 3X - Spring 2010 Assignment 2 : Deadline: Friday, June 25 (In Class) Question 1: Suppose that five normal populations have a common variance of σ 2 = 100 (a) The means are μ 1 = 175, μ 2 = 190, μ 3 = 160, μ 4 = 200, μ 5 = 215. Assuming a balanced design of n = 5 observations per population. What is the power of the test for equality of means with a level of significance of 1%? Hint: Compute the non-centrality parameter. (b) The means are μ 1 = 175, μ 2 = 190, μ 3 = 160, μ 4 = 200, μ 5 = 215. Assuming a balanced design how many observations per population must be taken so that the probability of rejecting the hypothesis of equality of means is at least 0.95? Use α = 0 . 01. (c) Suppose that range in the means is max { μ i } - min { μ i } = 40. Assuming a balanced design, how many observations per population must be taken so that the probability of rejecting the hypothesis of equality of means is at least 0.95? Use α = 0 . 01. Question 2: Consider the one factor ANOVA model Y ij = μ i + ij where ij are independent N (0 , σ 2 ) for i = 1 , . . . , r and j = 1 , . . . , n i .

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 ]}

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern