This is an analysis of gas mileage for 5 drivers who are experienced, profession

Question

This is an analysis of gas mileage for 5 drivers who are experienced, professional drivers. They are are driving 5 identical cars for 500 miles. They will use a 2.5 mile oval race track with speeds approaching 250 miles per hour and finish with 1 minute of each other. The gallons of gas used per 100 mile segment are given in the table below. What does the analysis show:   are the car mileage the same? That is, any significantly different? which driver is the most efficient with his gas? What graphs are telling? some graphs: averages, standard deviation, dot plot, npp, What does the ANOVA table show? Driver segment A B C D E 1 73 67 73 71 77 2 75 62 75 75 66 3 67 65 74 75 78 4 63 60 72 74 57 5 74 65 70 74 60 This is an analysis of gas mileage for 5 drivers who are experienced, professional drivers. They are are driving 5 identical cars for 500 miles. They will use a 2.5 mile oval race track with speeds approaching 250 miles per hour and finish with 1 minute of each other. The gallons of gas used per 100 mile segment are given in the table below. What does the analysis show:   are the car mileage the same? That is, any significantly different? which driver is the most efficient with his gas? What graphs are telling? some graphs: averages, standard deviation, dot plot, npp, What does the ANOVA table show? Driver segment A B C D E 1 73 67 73 71 77 2 75 62 75 75 66 3 67 65 74 75 78 4 63 60 72 74 57 5 74 65 70 74 60

Explanation / Answer

SolA:

perform one way anova

H0:means of gas mileage 0f all 5 drivers drivers same

H1: there is signficant difference in means of gas mileage 0f all 5 drivers

alpha=0.05

test statistic

F=3.102853

p=0.038655

p<0.05

Reject null hypothesis

conclusion:

there is significant difference in means of gas mileage 0f all 5 drivers.

Solutionb:

driver D is most efficient as his means is more and variance is less.

Solutiond:

SUMMARY Groups Count Sum Average Variance Driver A 5 352 70.4 26.8 Driver B 5 319 63.8 7.7 Driver C 5 364 72.8 3.7 Driver D 5 369 73.8 2.7 Driver E 5 338 67.6 92.3

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