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The postal service sorts mail as Priority Mail Express, Priority Mail, First-Class Mail, or Standard Mail. Over a period of 3 weeks, 18 of each
The postal service sorts mail as Priority Mail Express, Priority Mail, First-Class Mail, or Standard Mail. Over a period of 3 weeks, 18 of each type were mailed from the Network Distribution Center in Atlanta. Georgia. to Des Moines, lowa. The total delivery time in days was recorded. Minitab was used to perform the ANOVA. The results follow: Source DF 55 MS P Factor 1. 65 68 0.55 1.57 0.205 Error 24.09 0.35 Total 71 25.74 Level N Mean StDev Priority Mail Express 18 2.970 0.580 Priority Mail 18 3.042 9.866 First-Class Mail 18 3.335 9.435 Standard Mail 18 3.266 9.377 Using the ANOVA results, compare the average delivery times of the four different types of mail. Required: a. Identify the null hypothesis and the alternate hypothesis. Null hypothesis: a. He: M1 # M2 # M3 # 14 b. He: M1 = U2 = U3 = HA O a Ob Alternate hypothesis: O H1: At least one mean is different. O H1: All means are equal. b. What is the decision rule? Use the 0.05 significance level. (Round your answer to 2 decimal places.) Reject Ho if F > c. Use the 0.05 significance level to test if this evidence suggests a difference in the means for the different types of mail. Ho is -There is in the means for the different types of mail
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