A. Let x, X. x, and y,, ya, Ym be independent random samples from two normal distributions N(H, o) and N(z,0?), respectively, where ož is the common variance. If 4, and uz are unknown. We wish to construct a likelihood ratio test of Hg: o = ož against H: o = o, assuming that o > ož. 1. * 1. Under Ho, the likelihood function is given by А. n+m LH, (n.) = (2n o3)¯ 2 2 of

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A. Let x, X2, . X, and y,, y2, . Ym be independent random samples from two normal distributions
N(H, o?) and N(12,02), respectively, where o is the common variance. If 4, and uz are
unknown. We wish to construct a likelihood ratio test of Ho: o2 = of against H:o? = o.
assuming that of > of.
1. *
1. Under Ho, the likelihood function is given by
А.
n+m
LH. (î.) = (2n o3)-
2 of
e
A.
n+m
B. LH, (o) = (2n o3)
2
n+m
e
Transcribed Image Text:令all A. Let x, X2, . X, and y,, y2, . Ym be independent random samples from two normal distributions N(H, o?) and N(12,02), respectively, where o is the common variance. If 4, and uz are unknown. We wish to construct a likelihood ratio test of Ho: o2 = of against H:o? = o. assuming that of > of. 1. * 1. Under Ho, the likelihood function is given by А. n+m LH. (î.) = (2n o3)- 2 of e A. n+m B. LH, (o) = (2n o3) 2 n+m e
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