In: Statistics and Probability
A business consultant for the National Transportation
Safety Board (NTSB), collected data on the safety of hybrid
automobiles traveling at 30, 40 and 50 miles per hour. She
randomly assigned the same hybrid model to each condition and
collected data on the pressure applied to the driver’s head during
a crash into a wall at each speed.
What is the independent variable? Dependent
variable?
Is she able to make cause and effect statements about
the cars the head pressure? Explain. Give a hypothetical
cause and effect statement.
Assume for a moment that she randomly selected 9
hybrids from the thousands of hybrids produced by the
manufacturer. Is she able to generalize to all automobiles
produced by that manufacturer? Explain.
(i)
The independent variable is speed of hybrid automobiles during a crash into a wall
(ii)
Dependent variable : pressure applied to the driver’s head during a crash into a wall
(iii)
She is able to make cause and effect statements about the cars the head pressure because she collected data on the pressure applied to the driver’s head during a crash into a wall at each speed. A hypothetical cause and effect statement is as follows:
The increase in the speed of hybrid automobiles during a crash into a wall causes corresponding increase in the pressure applied to the driver’s head during a crash into a wall
(iv)
She is not able to generalize to all automobiles produced by that manufacturer because factors other than the speed of hybrid automobiles during a crash into a wall which causes the pressure applied to the driver’s head, confounding variables such as road condition, traffic congestion, driver's condition: whether he is drunk, etc., are not controlled in this experimentation.