Q34 To compare the effectiveness of two kinds of bumper guards, twoindependent random samples of six compact cars were outfitted withone of the two guards (6 cars with type 1 and 6 cars with type 2). Then,each car was run into a concrete wall at 5 mph. The average damageestimate for guard 1 was $1440. We know that the population varianceof damage using bumper type 1 is 3632. The guard 2 sample had anaverage of $1490. We know that the population variance of damageusing bumper type 2 is 2020. If we assume the populations are normallydistributed, does it appear that the guards differ in effectiveness? Selectthe correct p-value and decision below. (Use a = 0.05.)Oa.b.p-value = 0.0516, fail to reject HOp-value = 0.0516, reject HOp-value = 0.9894, fail to reject HOd. p-value = 0.1032, fail to reject HOC.H

Given: Sample average: x¯1=1440x¯2=1490 Population variance: σ12=3632σ22=2020 Sample size :n1=n2=6 X…

To compare the effectiveness of two kinds of bumper guards, two independent random samples of six compact cars were outfitted with one of the two guards (6 cars with type 1 and 6 cars with type 2). Then, each car was run into a concrete wall at 5 mph. The average damage estimate for guard 1 was $1440. We know that the population variance of damage using bumper type 1 is 3632. The guard 2 sample had an