Determine the critical region and critical value(s) that would be used to test t

Question

Determine the critical region and critical value(s) that would be used to test the following hypotheses using the classical approach when F is used as the test statistic.

(a)

H0: 12 = 22 vs. Ha: 12 > 22,

with n1 = 8, n2 = 7, and = 0.05

critical region F >_______

(b)

H0:

12/22 = 1 vs.

Ha:

                                                    12/22 1,

with n1 = 16, n2 = 61, and = 0.05

critical region F < ________or F > ______

(c)

H0:

                                                12/22= 1 vs.

Ha:

                                                     12/22 > 1,

with n1 = 11, n2 = 18, and = 0.01

critical region F >_______

(d)

H0: 1 = 2 vs. Ha: 1 < 2,

with n1 = 41, n2 = 21, and = 0.01

critical region F >___________

Explanation / Answer

a) Critical F >4.205

b) F<-1.8365 or F>1.8365

c) F>3.592

d) F>2.695

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