Question

Problem 3 Kenny, a mechanic, just changed jobs. The new car dealership charges a set number of hours for him to rebuild transmissions. A study from Ford Motor Company found the amount of time it takes a mechanic to rebuild a transmission is Normal with a mean of 8 and a standard deviation of 1.7 hours. Draw a well labeled sketch of this distribution. Include the Empirical Rule cut offs. See Stevens ThinkDO p 21. What time is at the 84th percentile of times? What time is at the 2.5th percentile? On his first day working at the new dealership, Kenny takes 9 hours to rebuild a transmission. He is worried that his new employers may think that he works too slowly. Should he be concerned? Use a Normal Curve analysis to decide. Also on your sketch above, shade in the area that represents the probability that it takes a mechanic 9 hours or longer to complete the transmission rebuild. There are 5 other mechanics at Kenny's new dealership who specialize in transmission repair. Records show that they average 8.8 hours to rebuild a transmission. What is the probability a sample of 5 mechanics will have a mean time to rebuild 8.8 hours or longer? A. B. C. D. E.

Answer 1