Let X be a random sample of size n from N(₁,02) and let Y be a random sample of size m from N(μ2, 02) where X and Y are independent. Determine the distribution of each of the following: (a) Y - μ2 Sy/√m (b) assuming o=o2 S²

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Let X be a random sample of size n from N(₁,01) and let Y be a random sample of
size m from N(μ2, 02) where X and Y are independent. Determine the distribution of each of the
following:
(a)
(b)
-
Yμ¹2
Sy/√m
assuming of = 02
Transcribed Image Text:Let X be a random sample of size n from N(₁,01) and let Y be a random sample of size m from N(μ2, 02) where X and Y are independent. Determine the distribution of each of the following: (a) (b) - Yμ¹2 Sy/√m assuming of = 02
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