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Descriptive Statistics

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Always get overwhelmed by the amount of material when covered at a comprehensive level. Attached is the study material of what to be prepared to cover at the conclusion of this course. I have worked through them but get stumped at several points. Can you provide a systematic approach to these problems and provide a reference to refer to make sure my solutions are accurate. It would helpful if you can explain why you did what you did, as this is just a helpful of study and questions may appear differently at the actual conclusion of the course.

The following raw data is the result of selecting a random sample of new Ford Escorts and testing these cars for fuel efficiency (results are in miles per gallon):
35.1 37.8 34.2 37.6 33.2 36.5
37.8 37.8 36.5 37.9 36.4 35.6
38.1 38 34.3 33 38.2 36.3

Here is a printout from EXCEL of the descriptive statistics for this problem. Refer to Table 2A on the Handout.
Part A
Discuss the property of variation for this data. Give specific ranges together with the percentage of data we'd expect to fall within that range. Also what are the quartiles and what do they tell us?
Part B
Is the data skewed? If so, how?
Part C
If you were advising Ford Dealers on what to tell customers about fuel economy in the Ford Escort, what would you tell them? Be specific and use statistics to justify your statements.

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Details of calculation of descriptive statistics is included in the solution.

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Statistics - Descriptive Statistics (Analysis of Variance)

Car Fuel Consumption:

The following table lists highway fuel consumption amounts (in mi/gal) from data Set 22 in Appendix C. Assume that fuel consumption amounts are not affected by an interaction between the type of transmission (manual or automatic) and the number of cylinders. Are fuel consumption amounts affected by the type of transmission? Are fuel consumption amounts affected by the number of cylinders? (Please see the attached file)

Age
under 20 20-40yrs Over 40
Male 96 64 68 60 64 88 72 64 68 72 60 88
Female 76 64 76 68 72 88 72 68 60 68 72 64

Cylinders
4 Cyliners 6 Cylinders 8 Cylinders
Manual 33 30 28
Automatic 31 27 24

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