Martin Motors has in stock three cars of the same make and model. The president
ID: 3378931 • Letter: M
Question
Martin Motors has in stock three cars of the same make and model. The president would like to compare the gas consumption of the three cars (labeled car A, car B, and car C) using four different types of gasoline. For each trial, a gallon of gasoline was added to an empty tank, and the car was driven until it ran out of gas. The following table shows the number of miles driven in each trial.
Distance (miles)
Types of Gasoline
Car A
Car B
Car C
Regular
22.4
20.8
21.5
Super regular
17
19.4
20.7
Unleaded
19.2
20.2
21.2
Premium unleaded
20.3
18.6
20.4
Using the .05 level of significance:
a) Is there a difference among types of gasoline?
b) Is there a difference in the cars?
Distance (miles)
Types of Gasoline
Car A
Car B
Car C
Regular
22.4
20.8
21.5
Super regular
17
19.4
20.7
Unleaded
19.2
20.2
21.2
Premium unleaded
20.3
18.6
20.4
Explanation / Answer
Consider the table of summary of results:
a)
Here, as P = 0.165875522, then at 0.05 level, there is no significant difference between types of gasoline, as P > 0.05.
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b)
Here, as we can see, P = 0.42397161, then at 0.05 level, there is no significant difference between cars, as P > 0.05.
SUMMARY Groups Count Sum Average Variance Row 1 3 64.7 21.56667 0.643333 Row 2 3 57.1 19.03333 3.523333 Row 3 3 60.6 20.2 1 Row 4 3 59.3 19.76667 1.023333 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 10.20917 3 3.403056 2.199067 0.165876 4.066181 Within Groups 12.38 8 1.5475 Total 22.58917 11Related Questions
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