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Test for the difference in the variances

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Q: A company has two different processes that make credit cards. Suspecting that machine B has a higher variability than machine A the manager orders a test to be run. The following data was collected:

Machine Machine B
Sample size nA= 30 nB=40
Sample Standard Deviation sA= 1.0 sB= 1.7

Select the correct hypothesis to test for the difference in the variances. What is the critical value of the F distribution? Perform the test at the .05 level of significance. What is the observed value of the F distribution? What are your conclusions?

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