Assume That a Simple Random Sample Has Been Selected from a Normally

Essay

Assume that a simple random sample has been selected from a normally distributed population and test the
given claim. Use either the traditional method or P-value method as indicated. Identify the null and alternative
hypotheses, test statistic, critical value(s) or P-value (or range of P-values) as appropriate, and state the final
conclusion that addresses the original claim. A light-bulb manufacturer advertises that the average life for its light
bulbs is 900 hours. $$\begin{array}{l}\text { A random sample of } 15 \text { of its light bulbs resulted in the following lives in hours. }\\\begin{array} { l l l l l l l l } 995 & 590 & 510 & 539 & 739 & 917 & 571 & 555 \\916 & 728 & 664 & 693 & 708 & 887 & 849 & \\\hline\end{array}\end{array}$$ 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.