A new design for the braking system on a certain type of carhas been proposed. For the
Chapter 8, Problem 12(choose chapter or problem)
A new design for the braking system on a certain type of carhas been proposed. For the current system, the true averagebraking distance at 40 mph under specified conditions isknown to be 120 ft. It is proposed that the new design beimplemented only if sample data strongly indicates a reductionin true average braking distance for the new design.a. Define the parameter of interest and state the relevanthypotheses.b. Suppose braking distance for the new system is normallydistributed with . Let denote the sample averagebraking distance for a random sample of 36 observations.Which of the following three rejection regions is appropriate:?c. What is the significance level for the appropriate regionof part (b)? How would you change the region to obtaina test with ?d. What is the probability that the new design is not implementedwhen its true average braking distance is actually115 ft and the appropriate region from part (b) is used? e. Let . What is the significancelevel for the rejection region ? For theregion ?
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