Suppose that X1andX, constitute a random sample of size 2from a population with probability density function given bySexe-1,10,f (x|0) =0 < x < 1elsewhereIf we wish to test Ho :0=1 versus H : 0 = 2, show that thecritical region is x1X2 2a.3for a particular value of the4constant, kUsing the critical region in (a) above, find the power of thetest at 0 = 2b.

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Suppose that X1andX, constitute a random sample of size 2 from a population with probability density function given by Sexe-1, 10, If we wish to test Ho :0=1 versus H, : 0 = 2, show that the 0 < x < 1 elsewhere f(x\0) = a. critical region is x1X2 2 3 for a particular value of the 4 constant, k b. Using the critical region in (a) above, find the power of the test at 0= 2

Suppose that X1andX, constitute a random sample of size 2 from a population with probability density function given by Sexe-1, 10, If we wish to test Ho :0=1 versus H, : 0 = 2, show that the 0 < x < 1 elsewhere f(x\0) = a. critical region is x1X2 2 3 for a particular value of the 4 constant, k b. Using the critical region in (a) above, find the power of the test at 0= 2

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 30E

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