Problem 2. Let two samples, one of size 15 and the other of 20, be drawnfrom two normal distributions. The sample means are 4 and 5, respectively.The sample unbiased variances are 1.4 and 2.0, respectively.(i) From prior sampling, it is known that the normal distributions havethe sample variance. Test the null hypothesis that the means of thetwo distributions are identical against the alternative hypothesis thatthey are not identical. The test is to be carried out at a significancelevel of 0.05.(ii) How would your conclusion differ from that in part (i) if you had usedthe pooled sample variance and the Central Limit Theorem? Giverelevant justifications.

Given that n1=15n2=20x¯1=4x¯2=5s12=1.4s22=2.0

Answered: Problem 2. Let two samples, one of size…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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