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Suppose we observe two independent random samples X₁,..., X, with each X; Y₁, ..., Y₂ with each Y; N(μ₂,0²). We will assume that M₁, M₂ and o² are unknown. = 13 and n₂ = 19. We are given x = 10.1, y = 7.1, s² = 5.5 and s² = 6.4, with ₁ We would like to test the hypothesis Ho M₁ = M₂ versus H₁ M₁ # M₂. What test statistic should you use? You may assume the samples come from populations with equal variances. ~ N(μ₁,0²) and

Suppose we observe two independent random samples X₁,..., X, with each X; Y₁, ..., Y₂ with each Y; N(μ₂,0²). We will assume that M₁, M₂ and o² are unknown. = 13 and n₂ = 19. We are given x = 10.1, y = 7.1, s² = 5.5 and s² = 6.4, with ₁ We would like to test the hypothesis Ho M₁ = M₂ versus H₁ M₁ # M₂. What test statistic should you use? You may assume the samples come from populations with equal variances. ~ N(μ₁,0²) and

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Suppose we observe two independent random samples X₁, ..., X, with each X; ~ N(μ₁,0²) and Y₁, ..., Yn with each Y; N(μ₂,0²). We will assume that μ₁, ₂ and ² are unknown. 9 We are given x = 10.1, y = 7.1, s² = 5.5 and s² = 6.4, with n₁ = 13 and n₂ = 19. We would like to test the hypothesis Ho: M₁ = μ₂ versus H₁ : µ₁ ‡ µ₂. What test statistic should you use? You may assume the samples come from populations with equal variances.
Transcribed Image Text:Suppose we observe two independent random samples X₁, ..., X, with each X; ~ N(μ₁,0²) and Y₁, ..., Yn with each Y; N(μ₂,0²). We will assume that μ₁, ₂ and ² are unknown. 9 We are given x = 10.1, y = 7.1, s² = 5.5 and s² = 6.4, with n₁ = 13 and n₂ = 19. We would like to test the hypothesis Ho: M₁ = μ₂ versus H₁ : µ₁ ‡ µ₂. What test statistic should you use? You may assume the samples come from populations with equal variances.
Suppose we want to formally test the assumption that the variances of the the two populations the samples come from are equal. What is the test statistic we should use? Select one: a. F = O b. W = O c. W = S² Sz F (n₂-1) S 5.5 (n₁-1) S 6.4 n₂-1 X-1 X₁₁-1 ni
Transcribed Image Text:Suppose we want to formally test the assumption that the variances of the the two populations the samples come from are equal. What is the test statistic we should use? Select one: a. F = O b. W = O c. W = S² Sz F (n₂-1) S 5.5 (n₁-1) S 6.4 n₂-1 X-1 X₁₁-1 ni
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