Question
Wayne Merritt drives from Cleveland to Chicago frequently and has noticed that traffic and weather make a big difference in the time it takes to
Wayne Merritt drives from Cleveland to Chicago frequently and has noticed that traffic and weather make a big difference in the time it takes to make the trip. As a result, he has a hard time planning activities around his arrival time. To better plan his business, Wayne wants to calculate his average driving time as well as a measure of how much an actual trip is likely to vary from that average. To do that, he clocked 10 trips with the following results:Driving Time Number of trips6 hrs, 0 min 16 hrs, 15 min 16 hrs, 30 min 26 hrs, 45 min 37 hrs, 0 min 17 hrs, 30 min 19 hrs, 20 min 1 a. Calculate the mean, standard deviation, and coefficient of variation of Waynes driving time to Chicago. (Hint: Treat the 10 trips as the 10 possible outcomes of a discrete probability distribution, each of which has a probability of .1. Work in total minutes for each trip.) b. Calculate the average variation in driving time. Compare the standard and average variations. Is the difference significant? Which is more meaningful to Wayne?
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