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, 23 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:

[The following information applies to the questions displayed below) The postal service sorts mail as Priority Mail Express, Priority Mail, First-Class Mail, or Standard Mail. Over a period of 3 weeks, 23 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 12.82 4.27 2.72 049 Error 88 138.51 1.57 Total 91 151.33 R-Sq (adj) -7% S 1 R-Sq -12% IN Level Mean StDev Priority Mail Express 23 1.411 085 Priority Mail 23 568 1.450 First Class Mail 23 2.584 1.520 Standard Mail 23 2.365 958 Using the ANOVA results, compare the average delivery times of the four different types of mail.

Explanation / Answer

For the given scenario and the result:

Decision rule : Reject Ho if F > Fcritical

Where Fcritical = F (0.01 , 3, 88 ) = 4.01

Therefore Reject Ho if F > 4.01

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