Let X be a random sample of size n from N(41, o7) and let Y be a random sample of size m from N(u2, 03) where X and Y are independent. Determine the distribution of each of the following: (X - Y)– (µ1 – µ2) (d) where S? is the pooled variance

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 29E
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Let X be a random sample of size n from N(u1, 0?) and let Y be a random sample of
size m from N(42, 03) where X and Y are independent. Determine the distribution of each of the
following:
(X - Y)- (41 – 2)
(d)
where S is the pooled variance
1
Transcribed Image Text:Let X be a random sample of size n from N(u1, 0?) and let Y be a random sample of size m from N(42, 03) where X and Y are independent. Determine the distribution of each of the following: (X - Y)- (41 – 2) (d) where S is the pooled variance 1
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