(See Steps) The manufacturer of a sports car claims that the fuel injection system lasts 48 months before it needs to be replaced. A consumer group tests
Question: The manufacturer of a sports car claims that the fuel injection system lasts 48 months before it needs to be replaced. A consumer group tests this claim by surveying a random sample of 10 owners who had the fuel injection system replaced. The ages of the cars at the time of replacement were (in months):
| 29 |
| 42 |
| 49 |
| 48 |
| 53 |
| 46 |
| 30 |
| 51 |
| 42 |
| 52 |
- Use your calculator to verify that the mean age of a car when the fuel injection system fails is \(\bar{x}=44.2\) months, with standard deviation \(s=8.61\) months.
- Test the claim that the fuel injection system lasts less than an average of 48 months before needing replacement. Use a \(5 \%\) level of significance.
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