Let X be a random sample of size n from N(μ1, 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: (c) (d) (X-Y)-(₁-μ2) √√²+2/22 m (X-Y)-(₁-μ2) √√√S/²3 (²/4 + 1/12) where S is the pooled variance

MATLAB: An Introduction with Applications
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Let X be a random sample of size n from N(μ1, 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:
(c)
(d)
(X-Y)-(₁-M2)
√²+%22
m
(X-Y)-(₁-μ2)
√√√S/²3 ( 1/2 + 1/2)
where S is the pooled variance
Transcribed Image Text:Let X be a random sample of size n from N(μ1, 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: (c) (d) (X-Y)-(₁-M2) √²+%22 m (X-Y)-(₁-μ2) √√√S/²3 ( 1/2 + 1/2) where S is the pooled variance
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