Metropolitan Research, Inc., a computer research organization, conducts surveys designed to evaluate awide variety of products and services available to consumers. In one particular study, Metropolitanlooked at consumer satisfaction with the performance of automobiles produced by a major Detroitmanufacturer. A questionnaire sent to owners of one of the manufacturer's full-sized cars revealedseveral 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 theDetroit area. The following data show the actual number of miles driven for 50 vehicles at the time of transmission failure.
Managerial Report
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 failurefor the population of automobiles with transmission failure. Provide a managerial interpretationof the interval estimate.3.
Discuss the implication of your statistical finding in terms of the belief that some owners of theautomobiles experienced earlier transmission failures.4.
How many repair records should be sampled if the research firm wants the population meannumber of miles driven until transmission failure to be estimated with a margin of error of 5,000miles? Use 95% confidence.5.
What other information would you like to gather to evaluate the transmission failure problemsmore fully?