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

ID: 3364636 • Letter: A

Question

A trucking company conducted an ANOVA analysis comparing the mean mileage associated with several diffe

rent 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?

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

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

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

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

Source DF SS MS F Treatment 2 3.894 1.947 4.198835 Error 24 11.129 C Total 26 B

Explanation / Answer

a) Three brands of tires are company comparing.

b) VALUE of B is 15.023

c) value of C is 0.4637

d) F critical with (2,24) d.f at alpha=0.05 is 3.4028

Since F calculated is greater than F critical we reject null hypothesis at alpha=0.05 level of significance. Reject the hypothesis that all brands have the same mean mileage.

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