1.70 Let X1, X2, Xn be a random sample from a N (ux, oỉ) population and let Y1, 92, ..., Ym be a random sample from a N

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1.70 Let X1, X2, Xn be a random sample from a N (ux, oỉ) population and let Y1, 92, ..., Ym be a random sample from a N (uy, o) population, independent of the first sample. Find the 95th percentile (to four decimal places) of the distribution of the following random variables: X1 - ux (a) Ox X1 - ux (b) when n=4, Sx XI -ux (c) max)? Ox Xi-ux n (d) σχ (e) X{, when ux = 100 and Ox = 10, 2 (f) when n = 17, Ox X- -ux (g) Sx/vn? X; -- Mx X-ux (h) when n = 14, Sx/vn (i) when n=7, when n=8, m= 10, and ox = Oy,