A car manufacturer is interested in testing the ability of two bumper designs to withstand low- speed crashes. Twenty five samples of each type of bumper are installed on test cars that are run into a brick wall at 40 km/hour. An estimate of the cost to repair the damage is then made based on studying the impact in slow motion and carefully examining the car. The following sample statistics from the experiment are obtained. Type Bumper Type I Bumper Type II Mean $330 $420 Standard Deviation $60 $30 Assuming that the population variances are equal, test at the 1% significant level if the average cost of damage repairs for one bumper design is significantly differs from the other. State your decision and conclusion.

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A car manufacturer is interested in testing the ability of two bumper designs to withstand low-
speed crashes. Twenty five samples of each type of bumper are installed on test cars that
are run into a brick wall at 40 km/hour. An estimate of the cost to repair the damage is then
made based on studying the impact in slow motion and carefully examining the car. The
following sample statistics from the experiment are obtained.
Type
Bumper Type I
Bumper Type II
Mean
$330
$420
Standard Deviation
$60
$30
Assuming that the population variances are equal, test at the 1% significant level if the
average cost of damage repairs for one bumper design is significantly differs from the other.
State your decision and conclusion.
Transcribed Image Text:Question 4 Not yet answered Marked out of 1.00 P Flag question A car manufacturer is interested in testing the ability of two bumper designs to withstand low- speed crashes. Twenty five samples of each type of bumper are installed on test cars that are run into a brick wall at 40 km/hour. An estimate of the cost to repair the damage is then made based on studying the impact in slow motion and carefully examining the car. The following sample statistics from the experiment are obtained. Type Bumper Type I Bumper Type II Mean $330 $420 Standard Deviation $60 $30 Assuming that the population variances are equal, test at the 1% significant level if the average cost of damage repairs for one bumper design is significantly differs from the other. State your decision and conclusion.
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