b) What is the observed value of the test statistic for the appropriate hypothesis test of ?0 : ?1 =?2. versus ?1 : ?1 ≠ ?2 n₁Suppose we observe two independent random samples X₁, ..., Xn with each X₁Y₁ N(μ₂,0²). We will assume that µ₁, µ₂ and ² are unknown.We are given x =10.1, y = 7.1, s² = 5.5 and sWe would like to test the hypothesis Ho: M₁ = µ₂ versus H₁ μ₁ ‡ M₂.What test statistic should you use? You may assume the samples come from populations with equal variances.Select one:a. T= =b. TC.=Z =dSal√12X-YSp√/1/n₁+1/m₂N(μ₁,0²) and Y₁, ..., Yn with each=X-Y0²√1/m₁+1/m₂t12, where d is the mean and S2 is the sample variance of paired differences d; = = x¡ — Y¡, i = 1, ...,..., 13.tn +m₂-2, where S is the pooled estimate of variance.N(0, 1), where o² = 6.04.6.4, with n₁ = 13 and n₂ = 19.

Given n1=13, n2=19, s2x=5.5, s2y=6.4

Answered: Suppose we observe two independent…

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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If the level of significance in a hypothesis test is 1 %, what would the p-value have to be for failing to reject the null hypothesis? a. equal to 0.005 b. less than .01 c. greater than .01
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