Do energy costs vary dramatically depending on where you live in the United States? Annual energy costs are collected from 25 households in four regions in the United States. (You may find it useful to reference theg table.) SUMMARY Groups Count Average West 25 1491 Northeast 25 2391 Midwest 25 1768 South 25 1758 a. Complete the ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "MS" to 4 decimal places and "F' to 3 decimal places.) ANOVA Source of Variation df MS p-value Between Groups 7,531,769 3 7.13E-24 Within Groups 3.492,385 96 Total 11,024,154 99 b. At the 1% significance level, can we conclude that average annual energy costs vary by region? O Yes, since the p-value is less than the significance level. O Yes, since the p-value is not less than the significance level. O No, since the p-value is less than the significance level. O No, since the p-value is not less than the significance level. c. If significant differences exist, use Tukey's HSD method at the 1% significance level to determine which regions' means differ. (If the exact value for m- cis not found in the table, then round down. Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places. Round your answers to 2 decimal places.) Population Mean Differences Can we conclude that the regions' means differ? Confidence Interval u1 - µ2 u1 - p3 μ1- μ4 µ2 - µ3 µ2 - µ4 p3 - µ4

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.