To compare two kinds of bumper guards, six of each kind were mounted on a certain make of compact car. Then each car was run into a concrete wall at 5 miles per hour, and the following are the costs of the repairs (in dollars): Bumper guard 1: 127 168 143 165 122 139 Bumper guard 2 : 154 135 132 171 153 149. Test, at the α=:01 significance level, whether there is a difference between the mean cost of repairs between the two bumpers.

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