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Suppose two independent random samples of sizes n1 = 9 and n2 = 7 that have...

Suppose two independent random samples of sizes n1 = 9 and n2 = 7 that have been taken from two normally distributed populations having variances σ21σ12 and σ22σ22 give sample variances of s12 = 100 and s22 = 20.

(a) Test H0: σ21σ12 = σ22σ22 versus Ha: σ21σ12 ≠≠ σ22σ22 with αα = .05. What do you conclude? (Round your answers to F to the nearest whole number and F.025 to 2 decimal places.)

F =     F.025 =  
(Click to select)RejectDo not reject H0: σ21σ12 = σ22σ22

(b) Test H0: σ21σ12 < σ22σ22 versus Ha: σ21σ12 > σ22σ22 with αα = .05. What do you conclude? (Round your answers to F to the nearest whole number and F.025 to 2 decimal places.)

F =     F.05 =  
(Click to select)RejectDo not reject H0: σ21σ12 < σ22σ22
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