Please show full work, thank you.

3. To compare two kinds of bumper guards, six of each kind were mounted on a car. Then the car was run into a concrete wall. Statistics for the costs of repairs are: 531 : 140, 5:2 2 149, sf : 80, 5% = 82. Assume that the two populations are normal, independent and have the same variance. Test at o: = .01 the null hypothesis that there is no difference between costs of repairs