ught and installed fuel filters on my family's five cars that are supposed age. I thought l'd put them to the test-we recorded the fuel consumpti ch of road for each car (in miles-per-gallon). Here is a summary, with da che variance of each row: Car A Car B Car C Car D Car E bout Eiltor 21 5 17 2 21 0

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In testing the effect of the fuel filter mentioned in part (b), I suspected the variation of the gas
mileage went up after installing the filters. I want to formally test the claim, at the
a = 0.025 level of significance, that the gas mileages' variance after installation is higher
than it was before installation. Using the data provided with (b), test this claim.
Transcribed Image Text:In testing the effect of the fuel filter mentioned in part (b), I suspected the variation of the gas mileage went up after installing the filters. I want to formally test the claim, at the a = 0.025 level of significance, that the gas mileages' variance after installation is higher than it was before installation. Using the data provided with (b), test this claim.
b) I bought and installed fuel filters on my family's five cars that are supposed to improve gas
mileage. I thought l'd put them to the test-we recorded the fuel consumption along a rural
stretch of road for each car (in miles-per-gallon). Here is a summary, with data for each car,
and the variance of each row:
Car A
Without Filter 21.5
With Filter 22.7
Improvement 1.2
Car B
Car C
Car D
Car E
Variance
17.3
19.8
31.0
23.8
27.277
17.7
20.3
32.1
23.0
29.987
0.4
0.5
1.1
-0.8
0.67
Transcribed Image Text:b) I bought and installed fuel filters on my family's five cars that are supposed to improve gas mileage. I thought l'd put them to the test-we recorded the fuel consumption along a rural stretch of road for each car (in miles-per-gallon). Here is a summary, with data for each car, and the variance of each row: Car A Without Filter 21.5 With Filter 22.7 Improvement 1.2 Car B Car C Car D Car E Variance 17.3 19.8 31.0 23.8 27.277 17.7 20.3 32.1 23.0 29.987 0.4 0.5 1.1 -0.8 0.67
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