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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
The life in hours of a heating element used in a furnace is known to be approximately normally distributed. A random sample of 15 heating elements is selected and found to have an average life of 598.14 hours and a sample standard deviation of 16.93 hours
(a) At the 0.05 level of significance, test the hypotheses H0: µ = 550 versus H1: µ > 550. On completing the hypothesis test, do you believe that the true mean life of a heating element is greater than 550 hours? Clearly state your answer.
(b) Find the P-value of the test statistic.
(c) Construct a 95% lower confidence bound on the mean and describe how this interval can be used to test the alternative hypothesis of part (a).
(d) Construct a two-sided 95% CI for the underlying variance.
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