1. Metropolitan Research, Inc., a consumer research organization, conducts surveys designed to evaluate a wide variety of products and services available to consumers. In one particular study, Metropolitan looked at consumer satisfaction with the performance of automobiles produced by a major Detroit manufacturer. A questionnaire sent to owners of one of the manufacturerls full-sized cars revealed several complaints about early transmission problems. To learn more about the transmission failures, Metropolitan used a sample of actual transmission repairs provided by a transmission repair rm in the Detroit area. The DATAFile Auto show the actual number of miles driven for 5D vehicles at the time of transmission failure. a. Use appropriate descriptive statistics to summarize the transmission failure data. b. Develop a 95% condence interval for the mean number of miles driven until transmission failure for the population of automobiles with transmission failure. Provide a managerial interpretation of the interval estimate. c. Discuss the implication of your statistical ndings in terms of the belief that some owners of the automobiles experienced early transmission failures. d. How many repair records should be sampled if the research rm wants the population mean number of miles driven until transmission failure to be esmated with a margin of error of 5000 miles? Use 95% condence. e. What other information would you like to gather to evaluate the transmission failure problem more fully