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2. Let X1, . .. , Xm ~ N(u, o2), and Y1, . .. , Yn ~ N(n, 72), and suppose the two samples are

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2. Let X1, . .. , Xm ~ N(u, o2), and Y1, . .. , Yn ~ N(n, 72), and suppose the two samples are independent. Find minimal sufficient statistics for the parameter 0 a. when u, n, o, and T are all unknown, such that / ER, n ER, o > 0, and T > 0. That is, your parameter is 0 = (u, n, o, T) EO, where O = RX RX R,( X R,., where R is the real line and Ryo is the positive half of R. b. when u, n, and o = T are all unknown, such that / E R, n ER, and o > 0. That is, your parameter is 0 = (u, n, o) EO, where O = R X R X R,.. C. when u = n, o, and T are all unknown, such that / E R, o > 0, and T > 0. That is, your parameter is 0 = (u, o, T) EO, where O = R X R. X RO

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