a) X1, ...X, are a randomn sample from a N(Hx,oy) distribution. Y1,...Y, are a random sample from a N(uy,o) distribution. Given that of and o are known, and assuming independence of the two samples,...

a) X1, ...X, are a randomn sample from a<br>N(Hx,oy) distribution. Y1,...Y, are a random<br>sample from a N(uy,o) distribution. Given that<br>of and o are known, and assuming<br>independence of the two samples, show that a<br>100(1 – a)% confidence interval for (ux - HY)<br>is given by (X –Y) ± Z= V<br>where<br>Z. is a real number such that<br>P(Z > Z.) = ; for Z ~<br>N(0, 1).<br>

Extracted text: a) X1, ...X, are a randomn sample from a N(Hx,oy) distribution. Y1,...Y, are a random sample from a N(uy,o) distribution. Given that of and o are known, and assuming independence of the two samples, show that a 100(1 – a)% confidence interval for (ux - HY) is given by (X –Y) ± Z= V where Z. is a real number such that P(Z > Z.) = ; for Z ~ N(0, 1).

Jun 07, 2022

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a) X1, ...X, are a randomn sample from a N(Hx,oy) distribution. Y1,...Y, are a random sample from a N(uy,o) distribution. Given that of and o are known, and assuming independence of the two samples,...

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