SOLUTION: 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

Question 449329: 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****Using the .05 level of significance:
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 21.2
Premium unleaded20.3 18.6 20.4

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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****Using the .05 level of significance:
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 21.2
Premium unleaded 20.3 18.6 20.4
-------
Ho: the means are all equal
Ha: not all the means are equal
----
I ran an ANOVA against the data and got the following:
test statistic: F = 0.9927
p-value = 0.4078
---
Conclusion: Since the p-value is greater than 5%, fail
to reject Ho.
There is no statistical difference between the gas
consumption of the three cars.
============================
Cheers,
Stan H.
==================
RELATED QUESTIONS
Martin Motors has in stock three cars of the same make and model. The president would... (answered by stanbon)

ThIS IS USING RATES... Portia drove her new car 425 miles on... (answered by 303795)

A new car model is available in 6 different colors, with 2 transmissions and 2 different... (answered by Fombitz)

A family has two cars. The first car has a fuel efficiency of miles per gallon of gas... (answered by Theo)

A family has two cars. The first car has a fuel efficiency of miles per gallon of gas... (answered by richwmiller)

A family has two cars. The first car has a fuel efficiency of miles per gallon of gas... (answered by ankor@dixie-net.com)

A family has two cars. The first car has a fuel efficiency of miles per gallon of gas and (answered by josgarithmetic)

A family has two cars. The first car has a fuel efficiency of miles per gallon of gas... (answered by josgarithmetic)

I was working on this, and have an idea of how to figure it out, but don't really... (answered by josgarithmetic,MathTherapy)