3 Exercise 13-21 Algo 3.33 A one-way analysis of variance experiment produced the following ANOVA table. (You may find It useful to reference the g table points SUMMARY Groups Count Average Column 1 0.81 Column 2 1.39 eBook Column 3 2.91 Source of Variation of MS p-value Between Groups 10.04 5.02 11.95 0.0014 Within Groups 5.03 9. 42 Print Total 15.07 14 in References Click here for the Excel Data File a. Conduct an ANOVA test at the 1% significance level to determine if some population means differ. Reject Ho: we can conclude that some population means differ. O Reject Ho: we cannot conclude that some population means differ. O Do not reject Ho: we can conclude that some population means differ. Do not reject Ho: we cannot conclude that some population means differ. b. Calculate 99% confidence interval estimates of 1 - H2, Hi - W3, and U2 - U3 with Tukey's HSD approach. (If the exact value for AT - c Is not found In the table, then round down. Negative values should be Indicated by a minus sign. Round Intermedlate calculations to at least 4 decimal places. Round your answers to 2 decimal places.) Population Mean Confidence Interval Differences 41 - H2 41 - 13 H2 - H3