The postal service groups first-class mail as letters, cards, flats, or parcels. Over a period of three weeks, one item of each kind was sent from a particular postal administrative center. The total time in transit was recorded. A statistical software package was then used to perform the analysis. The results follow. Source DF SS MS F P Factor 3 13.81 4.60 2.60 .058 Error 76 134.39 1.77 Total 79 148.20 S = 1 R-Sq = 10% R-Sq(adj) = 6% S = 1 R-Sq = 10% R-Sq(adj) = 6% Level N Mean StDev Letters 20 1.492 1.017 Cards 20 1.645 1.481 Flats 20 2.499 1.647 Parcels 20 2.443 .953 Use the 0.01 significance level to test if this evidence suggests a difference in the means for the different types of first-class mail. Requirement (1a): Identify the null hypothesis and the alternate hypothesis. Null hypothesis: Alternate hypothesis: What is the decision rule? Use the 0.01 significance level. (Hint: using Megastat function.) (Round your answer to 4 decimal places.)
1