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N Solution B Tables An auto dealer would like to determine if there is a difference in the braking distance (the number of feet required to go from 60 mph to O mph) of two different models of a high-end sedan. Six drivers are randomly selected and asked to drive both models and brake once they have reached exactly 60 mph. The distance required to come to a complete halt is then measured in feet. The results of the test are as follows. Can the auto dealer conclude that there is a significant difference in the braking distances of the two models? Use @ = 0.10. Let the braking distances of Model A represent Population 1 and the braking distances of Model B represent Population 2. Braking Distance of High-End Sedans (Feet) Driver 1 2 3 4 5 6 Model A | 151 | 151 | 160 | 158 | 155 | 146 ModelB | 155 | 152 | 163 | 158 | 156 | 146 Copy Data You were asked to state the null and alternative hypotheses for the test. The alternative hypothesis, Hy, is the statement that the researcher is aiming to gather evidence in favor of. The dealer claims that there is a difference in the braking distances of the two models. We write this statement mathematically as Hy: g # 0. The null hypothesis, Hp, is the statement that is currently believed to be true. It is always a statement of strict equality. In our case, we write the null hypothesis as Hy: ug = 0. Therefore, the two hypotheses for the test are written as follows. Correct Answer: # Hy:ps =0
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