Assume that a simple random sample has been selected from anormally distributed population and test the given claim. Useeither the critical value method or the P-value method asindicated. Identify the null and alternative hypotheses, teststatistic, critical value(s) or P-value (or range of P-values) asappropriate, and state the final conclusion that addresses theoriginal claim. A light-bulb manufacturer advertises that theaverage life for its light bulbs is 900 hours. A random sample of15 of its light bulbs resulted in the following lives in hours. 995590 510 539 739 917 571 555 916 728 664 693 708 887 849 At the 10%significance level, test the claim that the sample is from apopulation with a mean life of 900 hours. Use the P-value method oftesting hypotheses.