In: Statistics and Probability
Computers in some vehicles calculate various quantities related to performance. One of these is the fuel efficiency, or gas mileage, usually expressed as miles per gallon (mpg). For one vehicle equipped in this way, the miles per gallon were recorded each time the gas tank was filled, and the computer was then reset. In addition to the computer calculating miles per gallon, the driver also recorded the miles per gallon by dividing the miles driven by the number of gallons at fill-up. The driver wants to determine if these calculations are different.
Fill-up | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
Computer | 41.4 | 50.6 | 36.8 | 37.3 | 34.2 | 44.7 | 47.9 | 43.2 | 47.4 | 42.1 |
Driver | 36.5 | 44.2 | 37.2 | 35.6 | 30.5 | 40.5 | 40.0 | 41.0 | 42.8 | 39.2 |
Fill-up | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
Computer | 43.0 | 44.5 | 48.3 | 46.3 | 46.9 | 39.3 | 37.5 | 43.6 | 44.3 | 43.1 |
Driver | 38.8 | 44.5 | 45.4 | 45.3 | 45.7 | 34.2 | 35.2 | 39.8 | 44.9 | 47.5 |
(b) Carry out the test. (Round your answer for t to
four decimal places.)
t =?
(c) Give the degrees of freedom.
(d) Give the P-value. (Round your answer to four decimal places.)
b) Test Statistics = 0.6737
c) Degrees of freedom = 3
d) P value = 0.5046
Decision - Accept H0 if p value > 0.1
Conclusion - Their calculations are not different. PL??