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The postal service sorts mail as Priority Mail Express, Priority Mail, First-Class Mail, or Standard Mail....

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, Iowa. The total delivery time in days was recorded. Minitab was used to perform the ANOVA. The results fSouyrc

Source DF SS MS F P
Factor 3 2.67 0.89 3.07 0.034
Error 68 19.43 .29
Total 71 22.10
Level N Mean StDev
Priority Mail Express 18 2.928 0.622
Priority Mail 18 3.252 0.583
First Class Mail 18 3.468 0.439
Standard Mail 18 3.193 0.473

1. What is the decision rule? Use the 0.01 significance level. (Round your answer to 2 decimal places.)

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Answer #1

At alpha = 0.01 L.O.S , df = ( 3,68 )

f critical value = 4 .08

So

Decision rule is : Reject null hypothesis ( H0 ) if F > 4.08

F cal < f crit

i.e., 3.07 < 4.08

Conclusion : so fail to reject H0

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