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1. A car company conducts crash tests of its new airbag system to evaluate its safety. One hundred cars are run into a solid concrete
1. A car company conducts crash tests of its new airbag system to evaluate its safety. One hundred cars are run into a solid concrete barrier at a speed of 35 miles per hour, and the chest compression of a crash test dummy is measured each time. They hope that the average compression if the test were repeated over and over (which we could think of as the population) would be about 2 inches, corresponding to an injury that would be painful but not fatal. In the hundred tests, the average chest compression in the crash test dummies was 2.1 inches, with an SD of 0.2 inches. (a) State the null and alternative hypotheses in terms of the problem. (b) What kind of box model will we use for this problem? A 0-1 box, or a box with other values on the tickets? (c) State the null and alternative hypotheses in terms of the box model. (d) Compute the z test statistic and the p-value, using the sample average as your statistic as you compute z
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