Let X be a random sample of size n from N(41, o?) 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: Y - 42 (a) Sy/Vm (b) assuming of = o3 (X – Y) – (41 – 2) (c) (X-Y)- (41 – H2) (d) where S is the pooled variance (# + #) %s/

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 64E
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Let X be a random sample of size n from N(41, o?) 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:
Y - 42
Sy/Vm
assuming of = o
(X – Y) – (141 – H2)
-
(c)
V +
(X – Y) – (41 – H2)
m
(d)
where S2 is the pooled variance
(4 + #) sA
Transcribed Image Text:Let X be a random sample of size n from N(41, o?) 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: Y - 42 Sy/Vm assuming of = o (X – Y) – (141 – H2) - (c) V + (X – Y) – (41 – H2) m (d) where S2 is the pooled variance (4 + #) sA
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