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Workshop17

Workshop17 - 1 2 ≠ 2 2 Use combined Degrees of freedom...

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CHEN 3010 Applied Data Analysis Fall 2004 Names: __________________________ __________________________ __________________________ __________________________ Workshop # 17 Differences in Variances Background and Objective You may recall from the last workshop and lecture that a general scheme for comparing means was presented, shown below. The first question in the scheme is whether the variances of the two data sets are similar or distinct. To test for unequal variances we use the F test as described in today’s class notes. Using the data form Thursday’s Workshop, we can now determine if we chose wisely in our assessment of the variances. Your objective in this workshop is to determine if the variances are different and provide 90% confidence intervals for the ratios of variances. After analyzing the data, please answer the following question: If your confidence interval encompasses a value of 1.0, what does that mean in terms of variances? Can you state that the variances are different? Explain. Test for

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Unformatted text preview: _ 1 2 ≠ _ 2 2 Use combined Degrees of freedom Pool variance estimates Test for μ 1 ≠ μ 2 Test for μ 1 ≠ μ 2 CHEN 3010 Workshop #17 Page 2 Workshop Exercise In the table below, you will observe sets of flow rate and level data collected at two slightly different operating conditions. Sample statistics are provided. Propose hypotheses to test whether the variances of the flow rate and level data are different. Carry out the tests, calculate the 90% confidence intervals, and comment on the results. Set E Set G Set E Set G Flow Rate Flow Rate Level (cm) Level (cm) L/min L/min 3.891 3.795 12.502 13.338 3.878 3.817 12.9 13.277 3.886 3.785 12.339 12.767 3.889 3.833 11.83 12.533 3.902 3.797 12.472 12.309 3.854 3.783 11.687 12.727 3.873 3.83 13.032 12.808 3.938 3.826 14.714 12.676 3.907 3.807 12.217 12.4 3.892 3.802 12.186 12.176 3.915 12.563 3.893 3.808 Average 12.586 12.701 0.0224 0.0182 Standard Deviation 0.8114 0.3805 0.00050 0.00033 Variance 0.65834 0.14475...
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Workshop17 - 1 2 ≠ 2 2 Use combined Degrees of freedom...

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