A trucking company conducted an ANOVA analysis comparing the mean mileage associ

Question

A trucking company conducted an ANOVA analysis comparing the mean mileage associated with several different brands of tires. The ANOVA table is shown below.

a) How many brands of tires did the company compare?  

b) What is the value of B in the ANOVA table? Give your answer to three decimal places.  

c) What is the value of C in the ANOVA table? Give your answer to four decimal places.  

d) Using a 0.05 level of significance, what is the critical point compared to the F statistic in order to make a conclusion? Give your answer to four decimal places.  
e) Using a 0.05 level of significance, what conclusion should the company reach?

a. Fail to reject the hypothesis that all brands have the same mean mileage

b. .Fail to reject the hypothesis that one brand has a different mean mileage than the other brands.     

c. Reject the hypothesis that all brands have the same mean mileage

d .Reject the hypothesis that one brand has a different mean mileage than the other brands.

Explanation / Answer

a) total number of tires =df of treatment +! =2+1=3

b) B=4.871+16.609=21.48

c)C=16.609/22 =0.7550

d)critical point for 0.05 level and 2 and 22 df =3.4434

e)a. Fail to reject the hypothesis that all brands have the same mean mileage

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