X+ta/2(n – 1)ja X† Za/2 n are used to estimate the population mean. These estimators can be used even if the population is not normally distributed so long as the sample size is large. Can we say the (n–1)s² (n–1)s² same for the confidence interval estimator ? Why or why not? x,(n–1)’ x; o,(n–1)

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Q: Example 9-32. Show that the mean value of positive square root of a y (u) variate is T(u +;)/T(u).…

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Q: = 2 and Var( 0) =2 E(0 – 0 ) = 2 and Var(ê ) = 1 %3D A) = 0 and Var(Ô) = ECÔ) = 2 and Yar(Ô) =

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Q: Suppose E(X) = 1.50, E(Y) = 0.55, E(XY) = 0.80, Var(X) = 0.25, and Var(Y) = 0.2475 for two random…

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Q: Prob. 3 Let X be a random variable with cumulative distribution function (cdf) given by Fx(x) = {1 -…

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Q: 6. Show that 1 s2 = TE2-1(Xi – x)² is unbiased estimator of the population variance o?

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A: Let Xi~Bn,p, the the p.m.f of Xi is given by, px=Cnxpxqn-x,x=0,1,2,...,n Then, EXi=np and VXi=npq…

Q: Example 9-4. X is a normal variate with mean 30 and S.D. 5. Find the probabilities (i) 26 5.

A: We have given that.   X~N( μ , ?^2 )   μ =30 , ? =5   Z-score =( x - μ )/?