A company wanted to test for any differences in quality between twodifferent arr

Question

A company wanted to test for any differences in quality between twodifferent arrangements of an assembly line. A sample of tenproducts was selected from Line 1 and a measure of variance in theproduct was conducted yielding a variance of 1,432. A sample of 25was taken from Line 2 with a variance of 3,761. Test to see ifthere is a difference in the variances such that line 2 yields morevariance than line 1. Use alpha at .05.
Hey guys, I'm completely lost on this one. Any ideas?
Hey guys, I'm completely lost on this one. Any ideas?

Explanation / Answer

H1: 12  <22
Test statistic F = S22/S12 = 3761/1432 = 2.626
This has d.o.f n2-1 and n1-1i.e.24,9
F critical with alpha at 0.05 and d.o.f (24,9)= 2.9( from F tables)
Since F test statistic < F critical we can'treject null hypothesis in favor of alternative.
Hope this helps.

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