The postal service sorts mail as Priority Mail Express, Priority Mail, First-Cla

Question

The postal service sorts mail as Priority Mail Express, Priority Mail, First-Class Mail, or Standard Mail. Over a period of 3 weeks, 22 of each type were mailed from the Network Distribution Center in Altanta, Georgia, to Des Moines, Iowa. The total delivery time in days was recorded. Minitab was used to perform the ANOVA. The results follow: Source DF SS MS F P Factor 3 13.64 4.55 3.47 .020 Error 84 110.39 1.31 Total 87 124.03 S = 1 R-Sq = 10% R-Sq(adj) = 6% Level N Mean StDev Priority Mail Express 22 1.474 1.069 Priority Mail 22 1.644 1.492 First-Class Mail 22 2.451 1.564 Standard Mail 22 2.471 .973 Using the ANOVA results, compare the average delivery times of the four different types of mail.

The postal service sorts mail as Priority Mail Express, Priority Mail, First-Class Mail, or Standard Mail. Over a period of 3 weeks, 22 of each type were mailed from the Network Distribution Center in Altanta, Georgia, to Des Moines, lowa. The total delivery time in days was recorded. Minitab was used to perform the ANOVA. The results follow: DF SS MS F P Source Factor 3 13.64 4.55 3.47 020 Error 84 10.39 1.31 Total 87 124.03 R-Sq (adj) 6% S -1 R-Sq -10% N Mean StDev Level Priority Mail Express 22 1.474 1.069 Priority Mail 22 1.644 1.492 First Class Mail 22 2.451 1.564 Standard Mail 22 2.471 973 Using the ANOVA results, compare the average delivery times of the four different types of mail.

Explanation / Answer

From the output we get :

Fcalculated = 3.47

Fcritical = F0.05,3,84 = 2.713

Here calculated value of F > critical value of F .

Hence we reject null hypothesis.

Conclusion : The average delivery times of the four different types of the mall was not same.

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