The quality control manager at a sugar refinery was worried that two packaging production lines might be filling the packages with different weights. Samples of size 16 were taken from each of the production lines, and the contents of these 10-lb packages were carefully weighed. The following sample results seem to indicate that the mean weights of the 10-lb packages from the two lines are the same, but there appears to be much more variation in the weights of the packages coming off the second line. Test the hypothesis that the two lines have the same variation in weights by testing with α = .05. Use H₁:  If the following data do not support rejection of the null hypothesis, what must we do to test H₀: μ₁ = μ₂?

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Ho: =