A study found that people keep an automobile on average for 6.5 years. A researcher believes that

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A study found that people keep an automobile on average for 6.5 years. A researcher believes that the average time a person keeps their vehicle is less than 6.5 years. A random sample of 10 automobile owners was selected and the number of years that they kept their last automobile is shown:

\[\begin{array}{llllllllll}
4.3 & 5.1 & 7.6 & 3.3 & 8.2 & 6.4 & 3.9 & 6.3 & 5.9 & 2.1
\end{array}\]

Test the claim at \(\alpha=0.10\). Assume the variable is normally distributed.

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