SOLUTION: need help with a different type of problem. here they are: for the sample summarized below, test the hypothesis at a = .05 that the two variances are equal. sample A variance 19,

Question 469350: need help with a different type of problem. here they are:
for the sample summarized below, test the hypothesis at a = .05 that the two variances are equal. sample A variance 19, number of data values 8. sample B variance 9, number of data values 18.
A) reject the hypothesis because the test value 2.11 is less than the critical value 3.16.
B) reject the hypothesis because the test value 4.46 is greater than the critical value 3.01
C) do not reject the hypothesis because the test value 2.11 is less than the critical value 3.16
D) do not reject the hypothesis because the critical value 3.01 is greater than the test value 4.46
I have a few like this and could use the help. My last experience with this site was great! work was shown and it allowed me to solve the remainder of similar problems. Thanks in advance.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
test the hypothesis at a = .05 that the two variances are equal. sample A variance 19, number of data values 8. sample B variance 9, number of data values 18.
A) do not reject the hypothesis because the test value 2.11 is less than the critical value 3.16.
B) reject the hypothesis because the test value 4.46 is greater than the critical value 3.01
C) do not reject the hypothesis because the test value 2.11 is less than the critical value 3.16
D) do not reject the hypothesis because the critical value 3.01 is greater than the test value 4.46
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Ho: sigma^2(A) - sigma^2(B) = 0
Ha: sigma^2(A) - sigma^2(B) is not zero
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I ran a 2 Sample Ftest and got the following:
F = 19/9 = 2.1111
p-value = 0.1974
Conclusion: since the p-value is greater than 5% fail to reject Ho.
The test result supports Ho.
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Ans: A
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Cheers,
Stan H.
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