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 average of $1490. We know that the population variance of damage using bumper type 2 is 2020. If we assume the populations are normally distributed, does it appear that the guards differ in effectiveness? Select the correct

*p*-value and decision and state the null hypothesis. Use*α*= 0.05.▸

*p*-value = 0.1032; fail to reject*H*_{0}; The null hypothesis is that the guards are equally effective.

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*p*-value = 0.0516; fail to reject*H*_{0}; The null hypothesis is that the guards are not equally effective.

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*p*-value = 0.0516; reject*H*_{0}; The null hypothesis is that the guards are not equally effective.

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*p-*value = 0.9894; fail to reject*H*_{0}; The null hypothesis is that the guards are equally effective.