5. statisttical inferencce question 1 b i) b)Let X₁, X₂, ..., X and Y₁, Y₂, ..., Ym be random samples from populations with moment generating25functions Mx, (t) = ³t+t² and My, (t) = (-¹)²5, respectively.ei) Find the sampling distribution of the statistic W = X₁ + 2X₂ - X3 + X₁ + X5.

Answered: Image /qna-images/answer/8bc30e72-dfc2-435b-804d-fd116c6edd1c.jpg

Answered: ) Let X₁, X₂,..., X and Y₁, Y₂, ..., Ym…

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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O In a certain survey, 509 people chose to respond to this question: "Should passwords be replaced with biometric security (fingerprints, etc)?" Among the respondents, 55% said "yes." We want to test the claim that more than half of the population believes that passwords should be replaced with biometric security. Complete parts (a) through (d) below. a. Are any of the three requirements violated? Can a test about a population proportion using the normal approximation method be used? OA. The conditions np 25 and nq 25 are not satisfied, so a test about a population proportion using the normal approximation method cannot be used. OB. All of the conditions for testing a claim about a population proportion using the normal approximation method are satisfied, so the method can be used. OC. The sample observations are not a random sample, so a test about a population proportion using the normal approximating method cannot be used. OD. One of the conditions for a binomial distribution are…
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A lawyer received a complaint from a representative for factory workers somewhere in Pampanga. The workers were being forced to work for more than 8 hours. 8 hours is the average/normal work time per day in the Philippines as stated in the Labor Code and was initially stipulated by their employer when they were hired. They also reported that they were not receiving any compensation for their overtime work. The lawyer commissioned you to conduct a survey involving 10 randomly selected workers from the factory to inquire about their work time. The data you collected is displayed below. 8 hours 6 hours 5 hours 10 hours 14 hours 3 hours 9 hours 8 hours 11 hours 14 hours Use the P-Value Approach in testing the complaint of the workers. 1) Estimate μ at 99% confidence interval. 2) If you drew the wrong conclusion and gave the labor lawyer the wrong advice, what type of error would you have committed?
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) Let X₁, X₂,..., X and Y₁, Y₂, ..., Ym be random samples from populations with moment generating 25 functions Mx, (t) = e³t+t² and My₂(t) = (¹2)²³, respectively. = i) Find the sampling distribution of the statistic W = X₁ + 2X₂ - X3 + X4+X5.