Conduct a ANOVA Analysis for real data below. Give expository answers. You may i

Question

Conduct a ANOVA Analysis for real data below. Give expository answers. You may include small amounts of carefully selected computer outputs(e.g. SAS etc.) that you used in the analysis, but do not include stocks of it. An auto rental company is testing 3 brands of gasoline for mileage by using 18 more or less identical motors that are adjusted to run at a fixed speed. Of these 18, 6 are given gas G_i = 1, 2, 3. Each motor runs on 10 gallons of gasoline unit it is out of fuel. The resulting total mileage obtained by the motors is as follows:

Explanation / Answer

I have done ANOVA analysis for all 3 brands of gasoline.

Null Hypothesis : H0 : all 3 gas types are same.

ALternative Hypothesis : Ha : all 3 gas types are different.

The ANOVA output is

so F - value here= 1.2245

and Fcrt = 3.6823

so F < Fcrt so all threee gas types are same here.

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Gas G1 6 1440 240 248 Gas G2 6 1431 238.5 161.5 Gas G3 6 1502 250.3333 200.6667 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 498.1111 2 249.0556 1.224529 0.321658 3.68232 Within Groups 3050.833 15 203.3889 Total 3548.944 17

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