Question

For H0 and H1 with 0.05 alpha, H0: Variance of weights made by machine1 = Variance...

For H0 and H1 with 0.05 alpha,

H0: Variance of weights made by machine1 = Variance of weights made by machine 2

H1:Variance of weights made by machine1 > Variance of weights made by machine 2

We have the following outputs.

Sample size of data from machine 1 = 30

Sample size of data from machine 2 = 20

F statistics = 3.45

Which one is the correct one?

a.

Since F stat (3.45) is not larger than upper critical value (4.357), do not reject H0.

Thus there is no evidence that Variance of weights made by machine1 > Variance of weights made by machine 2.

b.

Since F stat (3.45) is larger than upper critical value (2.077), reject H0.

Thus there is no evidence that Variance of weights made by machine1 > Variance of weights made by machine 2.

c.

Since F stat (3.45) is not larger than upper critical value (4.357), do not reject H0.

Thus there is evidence that Variance of weights made by machine1 > Variance of weights made by machine 2.

d.

Since F stat (3.45) is larger than upper critical value (2.077), reject H0.

Thus there is evidence that Variance of weights made by machine1 > Variance of weights made by machine 2.

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