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An automobile manufacturer sold 30,000 new cars, one to each of 30,000 customers, in a certain year. The manufacturer was interested in investigating the proportion of the new cars that experienced a mechanical problem within the first 5,000 miles driven.

(a) [Your task or question here, if available]

Answer :

Thus, investigating the proportion of new cars that experience mechanical problems within the first 5,000 miles can provide valuable information for the automobile manufacturer to improve the quality of their cars and potentially increase customer satisfaction.

To investigate the proportion of new cars that experienced a mechanical problem within the first 5,000 miles driven, the automobile manufacturer would need to collect data on the number of new cars that experienced mechanical problems within this mileage range. This data could be collected through surveys or by analyzing repair records.

  • Once the data is collected, the proportion of new cars that experienced mechanical problems within the first 5,000 miles can be calculated by dividing the number of cars that had problems by the total number of new cars sold (30,000 in this case). The resulting proportion would give the manufacturer an idea of the percentage of new cars that may need mechanical repairs within the first 5,000 miles.
  • It's important to note that this proportion would be a sample statistic and may not necessarily represent the true population proportion of new cars that experience mechanical problems within the first 5,000 miles. To obtain a more accurate estimate, the manufacturer may need to increase the sample size or use more rigorous statistical methods.
  • Overall, investigating the proportion of new cars that experience mechanical problems within the first 5,000 miles can provide valuable information for the automobile manufacturer to improve the quality of their cars and potentially increase customer satisfaction.

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