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A Canadian company wants to compare the average parcel delivery speeds of three different delivery​ services,...

A Canadian company wants to compare the average parcel delivery speeds of three different delivery​ services, A, B and C. Delivery times​ (in hours) were recorded for a sample of 10 randomly selected destinations across North America. The results of the ANOVA test are summarized in the following table. What is the value of the test statistic for determining whether the three delivery services have the same average delivery​ speed?

Source of Variation SS df MS F P-value F-crit
Delivery Services 36.6 2 18.3 8.504303 0.0002511 3.554557
Destination    1200.967 9 133.4407 62.01205 1.04E-11 2.456281

A. 18.3
B. 0.0025
C. 8.504
D. 62.012

math   Statistics-And-Probability   
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Answer #1

From the given information,

The required correct answer is,

The value of the test statistic for determining whether the three delivery services have the same average delivery​ speed is 8.504

i.e., Option C. is correct.

Thank you.

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