An electrical firm manufactures light bulbs that have a lifetime that is approximately normally distributed with a standard deviation (σ) of 36 hours. A lifetime test of n=36 samples resulted in the sample average (x‾) of (a) Test the hypothesis H significance level of 0.05 .
(b) Calculate the power of H0:µ=1500 versus H1:µ≠1500 using a p-value.