Solve the Problem $$\begin{array} { l l l l l l l l } 995 & 590 & 510 & 539 & 739 & 917 & 571 & 555 \\916 & 728 & 664 & 693 & 708 & 887 & 849 &\end{array}$$

Solve the problem.
-A light-bulb manufacturer advertises that the average life for its light bulbs is 900 hours. A random sample of
15 of its light bulbs resulted in the following lives in hours. $$\begin{array} { l l l l l l l l } 995 & 590 & 510 & 539 & 739 & 917 & 571 & 555 \\916 & 728 & 664 & 693 & 708 & 887 & 849 &\end{array}$$ At the 10% significance level, test the claim that the sample is from a population with a mean life of 900 hours.
Use the P-value method of testing hypotheses.