A car manufacturer asserts that with the new collapsible bumper
system, the mean body repair cost for the damage sustained in a
collision impact of 18 miles per hour does not exceed $450. To test
the validity of this claim, 6 cars are crashed into a barrier at
18 miles per hour and their repair costs recorded. The mean
and standard deviation are found to be $478 and $48, respectively.
At the α = .05 significance level, does the test data contradict
the manufacturer’s claim that the repair cost does not exceed $450?
You may assume the sample was taken from a normal population.