The following data show the actual number of miles driven for 50 vehicles at the time of transmission failure ...

     The   following data show the actual number of miles driven for 50 vehicles at the   time of transmission failure.   1.) Use appropriate   descriptive statistics to summarize the transmission failure data.   2) Develop a 95% confidence   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.   3) Discuss the implication of your   statistical finding in terms of the belief that some owners of the   automobiles experienced early transmission failures.   4) How many repair records should be   sampled if the research firm wants the population men's number of miles drive   until, the transmission failure to be estimated with a margin of error of   5,000 miles? Use 95% confidence.   5) What other information would you like   to gather to evaluate the transmission failure problem more fully.    

     Miles   driven (x)   85092   39323   64342   74276   74425   37831   77539   32609   89641   61978   66998   67202   89341   88798   59465   94219   67998   40001   118444   73341   77437   116803   59817   72069   53500   85288   32534   92857   101769   25066   79294   138114   64090   63436   95774   77098   64544   53402   32464   65605   121352   69922   86813   85586   59902   85861   69568   35662   116269   82256