41.5, 50.7, 36.6, 37.3, 34.2, 45.0, 48.0, 43.2, 47.7,42.2, 43.2, 44.6, 48.4, 46.
ID: 2907043 • Letter: 4
Question
41.5, 50.7, 36.6, 37.3, 34.2, 45.0, 48.0, 43.2, 47.7,42.2,
43.2, 44.6, 48.4, 46.8, 39.2, 37.3, 43.5, 44.3, 43.3
Suppose that the standard deviation is known to be =3.5 mpg.
Estimate the 95% confidence interval for , the mean mpg for this vehicle.
In order to convert the confidence interval to the metric units kilometers per litter (kpl, to change mpg to kpl, use the fact that 1 mile = 1.609 kilometers and 1gallon = 3.785 liters), all you need is to multiply the confidence interval calculated for mpg by:
2.352
0.425
5.394
There is no simple transformation between the units, values must be completely recalculated.
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 mpg were recorded each time the gas tank was filled, and the computer was then reset. Here are the mpg values for a random sample of 20 of these records:
41.5, 50.7, 36.6, 37.3, 34.2, 45.0, 48.0, 43.2, 47.7,42.2,
43.2, 44.6, 48.4, 46.8, 39.2, 37.3, 43.5, 44.3, 43.3
Suppose that the standard deviation is known to be =3.5 mpg.
Estimate the 95% confidence interval for , the mean mpg for this vehicle.
In order to convert the confidence interval to the metric units kilometers per litter (kpl, to change mpg to kpl, use the fact that 1 mile = 1.609 kilometers and 1gallon = 3.785 liters), all you need is to multiply the confidence interval calculated for mpg by:
2.352
0.425
5.394
There is no simple transformation between the units, values must be completely recalculated.
Explanation / Answer
1 miles per gallon = (1.609/3.785) kpl = 0.425 kpl
Hence,
We need to multiply the confidence interval by 0.425
Option B is correct.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.