In: Statistics and Probability
Biodiesel fuel has a cloud point, the temperature at which the
fuel becomes cloudy, of approximately...
- Biodiesel fuel has a cloud point, the temperature at which the
fuel becomes cloudy, of approximately 13 0C .
This clouding can lead to poor engine performance and can even
cause an engine to stop completely. An industrial chemical company
produces an additive designed to lower the cloud point of this type
of fuel. A random sample of six different biodiesel fuels was
obtained and the cloud point was measured for each. One gram of the
chemical additive was mixed in with every fuel sample and the cloud
point was measured again. The resulting data are
given in the following table (
temperature in 0C ).
Fuel
|
A
|
B
|
C
|
E
|
F
|
Before additive
|
11.7
|
12.9
|
14.2
|
11.3
|
12.4
|
After additive
|
10.3
|
10.7
|
14.1
|
11.2
|
12.1
|
Assume normality and
conduct the appropriate hypothesis test to determine whether the
additive lowers the mean cloud point in biodiesel fuel. Use α
= 0.05.