An auto rental firm is using 15 identical motors that are adjusted to run at a fixed speed to test 3 different brands of gasoline. Each brand of gasoline is assigned to exactly 5 of the motors. Each motor runs on 10 gallons of gasoline until it is out of fuel. The following represents the total mileages obtained by the different motors: Gas 1: 220 251 226 246 260 Gas 2: 244 235 232 242 225 Gas 3: 252 272 250 238 256 a) Calculate the sum of squared deviation within and between each of type of gasoline used, for their mileages obtained.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 11P
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b) Estimate the degrees of freedom within and between mileage at each type of gasoline used. 

Question 4
An auto rental firm is using 15 identical motors that are adjusted
to run at a fixed speed to test 3 different brands of gasoline. Each
brand of gasoline is assigned to exactly 5 of the motors. Each
motor runs on 10 gallons of gasoline until it is out of fuel.
The following represents the total mileages obtained by the
different motors:
Gas 1: 220 251 226 246 260
Gas 2: 244 235 232 242 225
Gas 3: 252 272 250 238 256
a) Calculate the sum of squared deviation within and between each
of type of gasoline used, for their mileages obtained.
Transcribed Image Text:Question 4 An auto rental firm is using 15 identical motors that are adjusted to run at a fixed speed to test 3 different brands of gasoline. Each brand of gasoline is assigned to exactly 5 of the motors. Each motor runs on 10 gallons of gasoline until it is out of fuel. The following represents the total mileages obtained by the different motors: Gas 1: 220 251 226 246 260 Gas 2: 244 235 232 242 225 Gas 3: 252 272 250 238 256 a) Calculate the sum of squared deviation within and between each of type of gasoline used, for their mileages obtained.
c) Test the hypothesis that the average mileage obtained is not
affected by the type of gas used. Use the 5% level of significance.
8
Transcribed Image Text:c) Test the hypothesis that the average mileage obtained is not affected by the type of gas used. Use the 5% level of significance. 8
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