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11. Speeding. State police believe that 70% of the drivers
Chapter 18, Problem 11(choose chapter or problem)
11. Speeding. State police believe that 70% of the drivers traveling on a major interstate highway exceed the speed limit. They plan to set up a radar trap and check the speeds of 80 cars. a) Using the 68-95-99.7 Rule, draw and label the distribution of the proportion of these cars the police will observe speeding. b) Do you think the appropriate conditions necessary for your analysis are met? Explain.
Questions & Answers
QUESTION:
11. Speeding. State police believe that 70% of the drivers traveling on a major interstate highway exceed the speed limit. They plan to set up a radar trap and check the speeds of 80 cars. a) Using the 68-95-99.7 Rule, draw and label the distribution of the proportion of these cars the police will observe speeding. b) Do you think the appropriate conditions necessary for your analysis are met? Explain.
ANSWER:a) The distribution of the proportion of cars the police will observe speeding can be visualized on a normal distribution with the mean of 0.7.
mean: 0.7
standard deviation: 0.2487
68% of the cars: mean +/- 0.68*standard deviation= 0.4513 to 0.9487