Please answer all questions for THUMBS UP 1) This is an analysis of gas mileage

Question

Please answer all questions for THUMBS UP

1) 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: -

a) are the car mileage the same? That is, any significantly different?

b) which driver is the most efficient with his gas?

c) What graphs are telling? (some graphs: averages, standard deviation, dot plot, npp etc.)

d) What does the ANOVA table show?

2) Provide a short description of the strategy of experimentation. Describe the history of the founding of it, the benefits, and the steps for conducting an experiment.

3) What is PDSA and how would you describe it?

Segments Drivers 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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