Scenario: Metropolitan Research, Inc., a computer research organization, conducts surveys designed to evaluate a wide variety of products and services available to consumers. In one particular study, Metropolitan Research Inc. looked at consumer satisfaction with the performance of automobiles produced by a major Detroit manufacturer. A questionnairesent to owners of one of the manufacturer’s 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 firm in the Detroit area. The following datashow the actual number of miles driven for 50 vehicles at the time of transmission failure.(Please view attachment to see these values)
1) Use appropriate descriptive statisticsto summarize the transmission failure data.
2) Develop a 95% confidence intervalfor the meannumber 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 findings in terms of the belief that some owners of the automobiles experienced earlier transmission failures.
4) How many repair records should be sampled if the research firm wants the population mean number of miles driven until transmission failure to be estimated within 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 problems more fully?
The expert examines using statistics to create a managerial report.