Experience has shown that a grade in MAT 2371 is normally distributed with mean66 and variance 64 and that a grade in MAT 2377 is normally distributed with mean64 and variance 36. Suppose independence between the grades.Jack is taking MAT 2371 and Jill is taking MAT 2377. LetX denote Jack's grade and let Y denote Jill's grade.Find a constant c so that(Y – 64)²+sc)-(X – 66)?= 0.964362.7061.2820.1034.6051.645VI

Answered: Image /qna-images/answer/4d238eaa-aa7f-450a-addb-a38ee97dcac1.jpg

Answered: Experience has shown that a grade in…

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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A random sample of n1 = 20 winter days in Denver gave a sample mean pollution index x1 = 43. Previous studies show that ?1 = 11. For Englewood (a suburb of Denver), a random sample of n2 = 18 winter days gave a sample mean pollution index of x2 = 36. Previous studies show that ?2 = 15. Assume the pollution index is normally distributed in both Englewood and Denver. Do these data indicate that the mean population pollution index of Englewood is different (either way) from that of Denver in the winter? Use a 1% level of significance. a) What is the value of the sample test statistic? (Test the difference ?1 − ?2. Round your answer to two decimal places.)b) Find (or estimate) the P-value. (Round your answer to four decimal places.)
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